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3626 0 R 3627 0 R 3628 0 R 3629 0 R 3630 0 R 3631 0 R 3632 0 R 3633 0 R 3634 0 R 3635 0 R
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/S /Span
>>
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801 0 obj
<<
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/K 142
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>>
endobj
802 0 obj
<<
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/K 143
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803 0 obj
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>>
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>>
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>>
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<<
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/K 148
/P 46 0 R
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/S /Span
>>
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807 0 obj
<<
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/K 149
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/S /Span
>>
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808 0 obj
<<
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/K 150
/P 46 0 R
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/S /Span
>>
endobj
809 0 obj
<<
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/K 151
/P 46 0 R
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/S /Span
>>
endobj
810 0 obj
<<
/ActualText (LCL)
/K 152
/P 46 0 R
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/S /Span
>>
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811 0 obj
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/ActualText ( )
/K 153
/P 46 0 R
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/S /Span
>>
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812 0 obj
<<
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/K 154
/P 46 0 R
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/S /Span
>>
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813 0 obj
<<
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/K 155
/P 46 0 R
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/S /Span
>>
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814 0 obj
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/ActualText (1)
/K 156
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>>
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815 0 obj
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/K 157
/P 46 0 R
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/S /Span
>>
endobj
816 0 obj
<<
/ActualText (is the inverter)
/K 158
/P 46 0 R
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/S /Span
>>
endobj
817 0 obj
<<
/ActualText (-)
/K 159
/P 46 0 R
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/S /Span
>>
endobj
818 0 obj
<<
/ActualText (side )
/K 160
/P 46 0 R
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/S /Span
>>
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819 0 obj
<<
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/K 161
/P 46 0 R
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/S /Span
>>
endobj
820 0 obj
<<
/ActualText (C)
/K 162
/P 46 0 R
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/S /Span
>>
endobj
821 0 obj
<<
/ActualText ( )
/K 163
/P 46 0 R
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/S /Span
>>
endobj
822 0 obj
<<
/ActualText (is the filter capacitor, and )
/K 164
/P 46 0 R
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/S /Span
>>
endobj
823 0 obj
<<
/ActualText (L)
/K 165
/P 46 0 R
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/S /Span
>>
endobj
824 0 obj
<<
/ActualText (2)
/K 166
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
825 0 obj
<<
/ActualText ( )
/K 167
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
826 0 obj
<<
/ActualText (is the grid)
/K 168
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
827 0 obj
<<
/ActualText (-)
/K 169
/P 46 0 R
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/S /Span
>>
endobj
828 0 obj
<<
/ActualText (side )
/K 170
/P 46 0 R
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/S /Span
>>
endobj
829 0 obj
<<
/ActualText (inductor. )
/K 171
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
830 0 obj
<<
/ActualText (L)
/K 172
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
831 0 obj
<<
/ActualText (g)
/K 173
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
832 0 obj
<<
/ActualText ( )
/K 174
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
833 0 obj
<<
/ActualText (is)
/K 175
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
834 0 obj
<<
/ActualText ( )
/K 176
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
835 0 obj
<<
/ActualText (the grid inductance)
/K 177
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
836 0 obj
<<
/ActualText (.)
/K 178
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
837 0 obj
<<
/ActualText ( )
/K 179
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
838 0 obj
<<
/ActualText (T)
/K 180
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
839 0 obj
<<
/ActualText (he grid current )
/K 181
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
840 0 obj
<<
/ActualText (i)
/K 182
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
841 0 obj
<<
/ActualText (2)
/K 183
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
842 0 obj
<<
/ActualText ( )
/K 184
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
843 0 obj
<<
/ActualText (is )
/K 185
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
844 0 obj
<<
/ActualText (controlled with a proportional)
/K 186
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
845 0 obj
<<
/ActualText (-)
/K 187
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
846 0 obj
<<
/ActualText (integral \(PI\) regulator in the )
/K 188
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
847 0 obj
<<
/ActualText (synchronous )
/K 189
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
848 0 obj
<<
/ActualText (dq)
/K 190
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
849 0 obj
<<
/ActualText ( )
/K 191
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
850 0 obj
<<
/ActualText (frame. )
/K 192
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
851 0 obj
<<
/ActualText (T)
/K 193
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
852 0 obj
<<
/ActualText (he capacitor voltage )
/K 194
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
853 0 obj
<<
/ActualText (v)
/K 195
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
854 0 obj
<<
/ActualText (C)
/K 196
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
855 0 obj
<<
/ActualText ( )
/K 197
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
856 0 obj
<<
/ActualText (is sensed and )
/K 198
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
857 0 obj
<<
/ActualText (fed to a phase)
/K 199
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
858 0 obj
<<
/ActualText (-)
/K 200
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
859 0 obj
<<
/ActualText (locked loop \(PLL\) for grid synchronization. )
/K 201
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
860 0 obj
<<
/ActualText (S)
/K 202
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
861 0 obj
<<
/ActualText (ince the bandwidth of the PL)
/K 203
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
862 0 obj
<<
/ActualText (L )
/K 204
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
863 0 obj
<<
/ActualText (is )
/K 205
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
864 0 obj
<<
/ActualText (usually )
/K 206
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
865 0 obj
<<
/ActualText (set )
/K 207
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
866 0 obj
<<
/ActualText (far lower than )
/K 208
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
867 0 obj
<<
/ActualText (that of the grid current loop, the grid current loop can be )
/K 209
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
868 0 obj
<<
/ActualText (evaluated)
/K 210
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
869 0 obj
<<
/ActualText ( )
/K 211
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
870 0 obj
<<
/ActualText (independently. )
/K 212
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
871 0 obj
<<
/ActualText (F)
/K 213
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
872 0 obj
<<
/ActualText (or the grid current control, a single )
/K 214
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
873 0 obj
<<
/ActualText (loop can stabilize the system if the )
/K 215
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
874 0 obj
<<
/ActualText (LCL)
/K 216
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
875 0 obj
<<
/ActualText (-)
/K 217
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
876 0 obj
<<
/ActualText (filter resonance )
/K 218
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
877 0 obj
<<
/ActualText (frequency )
/K 219
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
878 0 obj
<<
/ActualText (f)
/K 220
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
879 0 obj
<<
/ActualText (r)
/K 221
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
880 0 obj
<<
/ActualText ( )
/K 222
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
881 0 obj
<<
/ActualText (is higher than one)
/K 223
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
882 0 obj
<<
/ActualText (-)
/K 224
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
883 0 obj
<<
/ActualText (sixth of t)
/K 225
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
884 0 obj
<<
/ActualText (he sampling frequency )
/K 226
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
885 0 obj
<<
/ActualText (f)
/K 227
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
886 0 obj
<<
/ActualText (s)
/K 228
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
887 0 obj
<<
/ActualText ( )
/K 229
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
888 0 obj
<<
/ActualText (/6 )
/K 230
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
889 0 obj
<<
/ActualText ([)
/K 231
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
890 0 obj
<<
/ActualText (24)
/K 232
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
891 0 obj
<<
/ActualText (])
/K 233
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
892 0 obj
<<
/ActualText
/K 234
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
893 0 obj
<<
/ActualText ([)
/K 235
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
894 0 obj
<<
/ActualText (27)
/K 236
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
895 0 obj
<<
/ActualText (])
/K 237
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
896 0 obj
<<
/ActualText (. )
/K 238
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
897 0 obj
<<
/ActualText (T)
/K 239
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
898 0 obj
<<
/ActualText (his stable region is however hard to ensure in )
/K 240
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
899 0 obj
<<
/ActualText (practice, since the variation of )
/K 241
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
900 0 obj
<<
/ActualText (L)
/K 242
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
901 0 obj
<<
/ActualText (g)
/K 243
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
902 0 obj
<<
/ActualText ( )
/K 244
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
903 0 obj
<<
/ActualText (may shift )
/K 245
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
904 0 obj
<<
/ActualText (f)
/K 246
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
905 0 obj
<<
/ActualText (r)
/K 247
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
906 0 obj
<<
/ActualText ( )
/K 248
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
907 0 obj
<<
/ActualText (across )
/K 249
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
908 0 obj
<<
/ActualText (f)
/K 250
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
909 0 obj
<<
/ActualText (s)
/K 251
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
910 0 obj
<<
/ActualText ( )
/K 252
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
911 0 obj
<<
/ActualText (/6. )
/K 253
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
912 0 obj
<<
/ActualText (I)
/K 254
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
913 0 obj
<<
/ActualText (n )
/K 255
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
914 0 obj
<<
/ActualText (view of this, an additional damping is required to achieve a )
/K 256
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
915 0 obj
<<
/ActualText (strong robustness, and it is usually reali)
/K 257
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
916 0 obj
<<
/ActualText (zed by a proportional )
/K 258
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
917 0 obj
<<
/ActualText (feedback of the capacitor current )
/K 259
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
918 0 obj
<<
/ActualText (i)
/K 260
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
919 0 obj
<<
/ActualText (C)
/K 261
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
920 0 obj
<<
/ActualText ( )
/K 262
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
921 0 obj
<<
/ActualText ([16], [17])
/K 263
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
922 0 obj
<<
/ActualText (. )
/K 264
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
923 0 obj
<<
/ActualText (T)
/K 265
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
924 0 obj
<<
/ActualText (o avoid an )
/K 266
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
925 0 obj
<<
/ActualText (extra current sensing, )
/K 267
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
926 0 obj
<<
/ActualText (i)
/K 268
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
927 0 obj
<<
/ActualText (C)
/K 269
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
928 0 obj
<<
/ActualText ( )
/K 270
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
929 0 obj
<<
/ActualText (is computed through the )
/K 271
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
930 0 obj
<<
/ActualText (derivative of )
/K 272
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
931 0 obj
<<
/ActualText (v)
/K 273
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
932 0 obj
<<
/ActualText (C)
/K 274
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
933 0 obj
<<
/ActualText (, as shown in Fig. 1, where )
/K 275
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
934 0 obj
<<
/ActualText (K)
/K 276
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
935 0 obj
<<
/ActualText (ad)
/K 277
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
936 0 obj
<<
/ActualText ( )
/K 278
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
937 0 obj
<<
/ActualText (is the damping gain.)
/K 279
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
938 0 obj
<<
/ActualText ( )
/K 280
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
939 0 obj
<<
/ActualText (Subtracting the damping term from the output of PI reg)
/K 281
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
940 0 obj
<<
/ActualText (ulator )
/K 282
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
941 0 obj
<<
/ActualText (yields the modulation reference, which is then processed by )
/K 283
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
942 0 obj
<<
/ActualText (the space vector modulation \(SVM\) to generate the driver )
/K 284
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
943 0 obj
<<
/ActualText (signal for adjusting the inverter switching.)
/K 285
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
944 0 obj
<<
/ActualText ( )
/K 286
/P 46 0 R
/Pg 16 0 R
/S /Span
>>
endobj
945 0 obj
<<
/Alt ()
/K 287
/P 47 0 R
/Pg 16 0 R
/S /InlineShape
>>
endobj
946 0 obj
<<
/ActualText ( )
/K 288
/P 47 0 R
/Pg 16 0 R
/S /Span
>>
endobj
947 0 obj
<<
/ActualText (Fig. )
/K 289
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
948 0 obj
<<
/ActualText (1)
/K 290
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
949 0 obj
<<
/ActualText (. )
/K 291
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
950 0 obj
<<
/ActualText (Topology and )
/K 292
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
951 0 obj
<<
/ActualText (current )
/K 293
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
952 0 obj
<<
/ActualText (control architecture of a th)
/K 294
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
953 0 obj
<<
/ActualText (ree)
/K 295
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
954 0 obj
<<
/ActualText (-)
/K 296
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
955 0 obj
<<
/ActualText (phase )
/K 297
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
956 0 obj
<<
/ActualText (LCL)
/K 298
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
957 0 obj
<<
/ActualText (-)
/K 299
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
958 0 obj
<<
/ActualText (type )
/K 300
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
959 0 obj
<<
/ActualText (grid)
/K 301
/P 48 0 R
/Pg 16 0 R
/S /Span
>>
endobj
960 0 obj
<<
/ActualText (-)
/K 302
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/S /Span
>>
endobj
961 0 obj
<<
/ActualText (connected inverter.)
/K 303
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/S /Span
>>
endobj
962 0 obj
<<
/ActualText ( )
/K 304
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/S /Span
>>
endobj
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<<
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/S /Span
>>
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<<
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/S /Span
>>
endobj
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<<
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/S /Span
>>
endobj
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<<
/ActualText (axis control diagram of active damping with either )
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/S /Span
>>
endobj
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<<
/ActualText (capacitor current or capacitor voltage)
/K 309
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/S /Span
>>
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<<
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/S /Span
>>
endobj
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<<
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>>
endobj
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<<
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/S /Span
>>
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<<
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/S /Span
>>
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<<
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/S /Span
>>
endobj
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<<
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/S /Span
>>
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<<
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/S /Span
>>
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<<
/ActualText (-)
/K 317
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/S /Span
>>
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<<
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/S /Span
>>
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<<
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>>
endobj
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<<
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/S /Span
>>
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<<
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/S /Span
>>
endobj
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<<
/ActualText (q)
/K 322
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/S /Span
>>
endobj
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<<
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/S /Span
>>
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<<
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/K 324
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/S /Span
>>
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<<
/ActualText (are ignored since they have li)
/K 325
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/S /Span
>>
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<<
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/S /Span
>>
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<<
/ActualText ([28]. )
/K 327
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/S /Span
>>
endobj
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<<
/ActualText (G)
/K 328
/P 49 0 R
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/S /Span
>>
endobj
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<<
/ActualText (i)
/K 329
/P 49 0 R
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/S /Span
>>
endobj
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<<
/ActualText (\()
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/S /Span
>>
endobj
989 0 obj
<<
/ActualText (z)
/K 331
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/S /Span
>>
endobj
990 0 obj
<<
/ActualText (\) is the PI regulator, whose expressions before and )
/K 332
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/S /Span
>>
endobj
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<<
/ActualText (after applying the backward Euler discretization are given as)
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/S /Span
>>
endobj
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<<
/ActualText ( )
/K 334
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/S /Span
>>
endobj
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<<
/Alt ()
/K 335
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/S /InlineShape
>>
endobj
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<<
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/S /Span
>>
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<<
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/S /InlineShape
>>
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<<
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/S /Span
>>
endobj
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<<
/ActualText (\()
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/S /Span
>>
endobj
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<<
/ActualText (1)
/K 340
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/S /Span
>>
endobj
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<<
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/K 341
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/S /Span
>>
endobj
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<<
/ActualText ( )
/K 342
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/S /Span
>>
endobj
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<<
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/K 343
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/S /Span
>>
endobj
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<<
/ActualText (K)
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/S /Span
>>
endobj
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<<
/ActualText (p)
/K 345
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/S /Span
>>
endobj
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<<
/ActualText ( )
/K 346
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/S /Span
>>
endobj
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<<
/ActualText (is the proportional gain, )
/K 347
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/Pg 16 0 R
/S /Span
>>
endobj
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<<
/ActualText (K)
/K 348
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/S /Span
>>
endobj
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<<
/ActualText (i)
/K 349
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/S /Span
>>
endobj
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<<
/ActualText ( )
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/S /Span
>>
endobj
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<<
/ActualText (i)
/K 351
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/S /Span
>>
endobj
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<<
/ActualText (s the integral gain, and )
/K 352
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/S /Span
>>
endobj
1011 0 obj
<<
/ActualText (T)
/K 353
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/S /Span
>>
endobj
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<<
/ActualText (s)
/K 354
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/S /Span
>>
endobj
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<<
/ActualText ( )
/K 355
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/Pg 16 0 R
/S /Span
>>
endobj
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<<
/ActualText (is the sampling period.)
/K 356
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/S /Span
>>
endobj
1015 0 obj
<<
/ActualText ( )
/K 357
/P 51 0 R
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/S /Span
>>
endobj
1016 0 obj
<<
/ActualText (The digitally controlled system contains computation)
/K 358
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/S /Span
>>
endobj
1017 0 obj
<<
/ActualText ( )
/K 359
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/S /Span
>>
endobj
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<<
/ActualText (and )
/K 360
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/S /Span
>>
endobj
1019 0 obj
<<
/ActualText (pulse)
/K 361
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/S /Span
>>
endobj
1020 0 obj
<<
/ActualText (-)
/K 362
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/S /Span
>>
endobj
1021 0 obj
<<
/ActualText (width modulation \(PWM\) delays, whose total value is )
/K 363
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/S /Span
>>
endobj
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<<
/ActualText (one and half sampling periods [29]. These delays are )
/K 364
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/S /Span
>>
endobj
1023 0 obj
<<
/ActualText (incorporated in F)
/K 365
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/S /Span
>>
endobj
1024 0 obj
<<
/ActualText (ig. 2\(a\).)
/K 366
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/S /Span
>>
endobj
1025 0 obj
<<
/ActualText ( )
/K 367
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/S /Span
>>
endobj
1026 0 obj
<<
/ActualText (Specifica)
/K 368
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/S /Span
>>
endobj
1027 0 obj
<<
/ActualText (lly, the)
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/S /Span
>>
endobj
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<<
/ActualText ( )
/K 370
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/S /Span
>>
endobj
1029 0 obj
<<
/ActualText (computation delay )
/K 371
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/S /Span
>>
endobj
1030 0 obj
<<
/ActualText (is one sampling period)
/K 372
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/S /Span
>>
endobj
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<<
/ActualText (,)
/K 373
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>>
endobj
1032 0 obj
<<
/ActualText ( )
/K 374
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/S /Span
>>
endobj
1033 0 obj
<<
/ActualText (and )
/K 375
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/S /Span
>>
endobj
1034 0 obj
<<
/ActualText (it is )
/K 376
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/S /Span
>>
endobj
1035 0 obj
<<
/ActualText (modeled as )
/K 377
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/S /Span
>>
endobj
1036 0 obj
<<
/ActualText (z)
/K 378
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/S /Span
>>
endobj
1037 0 obj
<<
/ActualText
/K 379
/P 52 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1038 0 obj
<<
/ActualText (1)
/K 380
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/Pg 16 0 R
/S /Span
>>
endobj
1039 0 obj
<<
/ActualText (. )
/K 381
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/S /Span
>>
endobj
1040 0 obj
<<
/ActualText (T)
/K 382
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/Pg 16 0 R
/S /Span
>>
endobj
1041 0 obj
<<
/ActualText (he PWM )
/K 383
/P 52 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1042 0 obj
<<
/ActualText (delay is half sampling period)
/K 384
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/S /Span
>>
endobj
1043 0 obj
<<
/ActualText (,)
/K 385
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/S /Span
>>
endobj
1044 0 obj
<<
/ActualText ( )
/K 386
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/S /Span
>>
endobj
1045 0 obj
<<
/ActualText (and )
/K 387
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/S /Span
>>
endobj
1046 0 obj
<<
/ActualText (it is )
/K 388
/P 52 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1047 0 obj
<<
/ActualText (caused by the )
/K 389
/P 52 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1048 0 obj
<<
/ActualText (zero)
/K 390
/P 52 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1049 0 obj
<<
/ActualText (-)
/K 391
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/Pg 16 0 R
/S /Span
>>
endobj
1050 0 obj
<<
/ActualText (order hold \(ZOH\), which is expressed as)
/K 392
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/Pg 16 0 R
/S /Span
>>
endobj
1051 0 obj
<<
/ActualText ( )
/K 393
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/S /Span
>>
endobj
1052 0 obj
<<
/Alt ()
/K 394
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/S /InlineShape
>>
endobj
1053 0 obj
<<
/ActualText (.)
/K 395
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/S /Span
>>
endobj
1054 0 obj
<<
/ActualText ( )
/K 396
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/S /Span
>>
endobj
1055 0 obj
<<
/ActualText (\()
/K 397
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/Pg 16 0 R
/S /Span
>>
endobj
1056 0 obj
<<
/ActualText (2)
/K 398
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/S /Span
>>
endobj
1057 0 obj
<<
/ActualText (\))
/K 399
/P 4679 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1058 0 obj
<<
/ActualText ( )
/K 400
/P 4679 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1059 0 obj
<<
/ActualText (K)
/K 401
/P 54 0 R
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/S /Span
>>
endobj
1060 0 obj
<<
/ActualText (PWM)
/K 402
/P 54 0 R
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/S /Span
>>
endobj
1061 0 obj
<<
/ActualText ( )
/K 403
/P 54 0 R
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/S /Span
>>
endobj
1062 0 obj
<<
/ActualText (= )
/K 404
/P 54 0 R
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/S /Span
>>
endobj
1063 0 obj
<<
/ActualText (V)
/K 405
/P 54 0 R
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/S /Span
>>
endobj
1064 0 obj
<<
/ActualText (in)
/K 406
/P 54 0 R
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/S /Span
>>
endobj
1065 0 obj
<<
/ActualText (/\(2)
/K 407
/P 54 0 R
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/S /Span
>>
endobj
1066 0 obj
<<
/ActualText (V)
/K 408
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/S /Span
>>
endobj
1067 0 obj
<<
/ActualText (tri)
/K 409
/P 54 0 R
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/S /Span
>>
endobj
1068 0 obj
<<
/ActualText (\) )
/K 410
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1069 0 obj
<<
/ActualText (is the transfer function of the PWM )
/K 411
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1070 0 obj
<<
/ActualText (inverter, where )
/K 412
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1071 0 obj
<<
/ActualText (V)
/K 413
/P 54 0 R
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/S /Span
>>
endobj
1072 0 obj
<<
/ActualText (in)
/K 414
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/S /Span
>>
endobj
1073 0 obj
<<
/ActualText ( )
/K 415
/P 54 0 R
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/S /Span
>>
endobj
1074 0 obj
<<
/ActualText (is the input voltage, and )
/K 416
/P 54 0 R
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/S /Span
>>
endobj
1075 0 obj
<<
/ActualText (V)
/K 417
/P 54 0 R
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/S /Span
>>
endobj
1076 0 obj
<<
/ActualText (tri)
/K 418
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1077 0 obj
<<
/ActualText ( )
/K 419
/P 54 0 R
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/S /Span
>>
endobj
1078 0 obj
<<
/ActualText (is t)
/K 420
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1079 0 obj
<<
/ActualText (he )
/K 421
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1080 0 obj
<<
/ActualText (amplitude of the triangular carrier. )
/K 422
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1081 0 obj
<<
/ActualText (G)
/K 423
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1082 0 obj
<<
/ActualText (ic)
/K 424
/P 54 0 R
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/S /Span
>>
endobj
1083 0 obj
<<
/ActualText (\()
/K 425
/P 54 0 R
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/S /Span
>>
endobj
1084 0 obj
<<
/ActualText (s)
/K 426
/P 54 0 R
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/S /Span
>>
endobj
1085 0 obj
<<
/ActualText (\), )
/K 427
/P 54 0 R
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/S /Span
>>
endobj
1086 0 obj
<<
/ActualText (G)
/K 428
/P 54 0 R
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/S /Span
>>
endobj
1087 0 obj
<<
/ActualText (vc)
/K 429
/P 54 0 R
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/S /Span
>>
endobj
1088 0 obj
<<
/ActualText (\()
/K 430
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1089 0 obj
<<
/ActualText (s)
/K 431
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1090 0 obj
<<
/ActualText (\), and )
/K 432
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1091 0 obj
<<
/ActualText (G)
/K 433
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1092 0 obj
<<
/ActualText (i)
/K 434
/P 54 0 R
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/S /Span
>>
endobj
1093 0 obj
<<
/ActualText (2)
/K 435
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1094 0 obj
<<
/ActualText (\()
/K 436
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/S /Span
>>
endobj
1095 0 obj
<<
/ActualText (s)
/K 437
/P 54 0 R
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/S /Span
>>
endobj
1096 0 obj
<<
/ActualText (\) are )
/K 438
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1097 0 obj
<<
/ActualText (the transfer functions from the inverter bridge output voltage)
/K 439
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1098 0 obj
<<
/ActualText ( )
/K 440
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1099 0 obj
<<
/ActualText (v)
/K 441
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1100 0 obj
<<
/ActualText (inv)
/K 442
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1101 0 obj
<<
/ActualText (\()
/K 443
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1102 0 obj
<<
/ActualText (s)
/K 444
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1103 0 obj
<<
/ActualText (\) to )
/K 445
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1104 0 obj
<<
/ActualText (i)
/K 446
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1105 0 obj
<<
/ActualText (C)
/K 447
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1106 0 obj
<<
/ActualText (\()
/K 448
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1107 0 obj
<<
/ActualText (s)
/K 449
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1108 0 obj
<<
/ActualText (\), )
/K 450
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1109 0 obj
<<
/ActualText (v)
/K 451
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1110 0 obj
<<
/ActualText (C)
/K 452
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1111 0 obj
<<
/ActualText (\()
/K 453
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/Pg 16 0 R
/S /Span
>>
endobj
1112 0 obj
<<
/ActualText (s)
/K 454
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/Pg 16 0 R
/S /Span
>>
endobj
1113 0 obj
<<
/ActualText (\), and )
/K 455
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1114 0 obj
<<
/ActualText (i)
/K 456
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/S /Span
>>
endobj
1115 0 obj
<<
/ActualText (2)
/K 457
/P 54 0 R
/Pg 16 0 R
/S /Span
>>
endobj
1116 0 obj
<<
/ActualText (\()
/K 458
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/Pg 16 0 R
/S /Span
>>
endobj
1117 0 obj
<<
/ActualText (s)
/K 459
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/S /Span
>>
endobj
1275 0 obj
<<
/ActualText (GI )
/K 128
/P 66 0 R
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/S /Span
>>
endobj
1276 0 obj
<<
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/K 129
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/S /Span
>>
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1277 0 obj
<<
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/K 130
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>>
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<<
/ActualText ( )
/K 131
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>>
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<<
/ActualText (proved to have )
/K 132
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>>
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/K 133
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<<
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/K 134
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>>
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<<
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/K 135
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>>
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<<
/ActualText ([22], [23])
/K 136
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/S /Span
>>
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<<
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/K 137
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/S /Span
>>
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<<
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/K 138
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>>
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<<
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/K 139
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/S /Span
>>
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<<
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/S /Span
>>
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<<
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/K 141
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/S /Span
>>
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<<
/ActualText (necessary to help con)
/K 142
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/S /Span
>>
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<<
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/K 143
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>>
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<<
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/K 144
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>>
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<<
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/K 145
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/S /Span
>>
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<<
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/K 146
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/S /Span
>>
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1294 0 obj
<<
/ActualText (enerally, a)
/K 147
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/S /Span
>>
endobj
1295 0 obj
<<
/ActualText (n ideal GI can be expressed as)
/K 148
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/S /Span
>>
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1296 0 obj
<<
/ActualText ( )
/K 149
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/S /Span
>>
endobj
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<<
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/K 150
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>>
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<<
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/K 151
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/S /Span
>>
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<<
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/K 152
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/Pg 17 0 R
/S /Span
>>
endobj
1300 0 obj
<<
/ActualText (\()
/K 153
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/Pg 17 0 R
/S /Span
>>
endobj
1301 0 obj
<<
/ActualText (7)
/K 154
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/S /Span
>>
endobj
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<<
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/K 155
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/S /Span
>>
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<<
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/K 156
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/S /Span
>>
endobj
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<<
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/K 157
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/S /InlineShape
>>
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<<
/ActualText ( )
/K 158
/P 69 0 R
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/S /Span
>>
endobj
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<<
/ActualText (Fig. )
/K 159
/P 70 0 R
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/S /Span
>>
endobj
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<<
/ActualText (3)
/K 160
/P 70 0 R
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/S /Span
>>
endobj
1308 0 obj
<<
/ActualText (. )
/K 161
/P 70 0 R
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/S /Span
>>
endobj
1309 0 obj
<<
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/K 162
/P 70 0 R
/Pg 17 0 R
/S /Span
>>
endobj
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<<
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/K 163
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/S /Span
>>
endobj
1311 0 obj
<<
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/K 164
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/S /Span
>>
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1312 0 obj
<<
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/K 165
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/S /Span
>>
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1313 0 obj
<<
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/K 166
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/S /Span
>>
endobj
1314 0 obj
<<
/ActualText ( )
/K 167
/P 70 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1315 0 obj
<<
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/K 168
/P 71 0 R
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/S /Span
>>
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1316 0 obj
<<
/ActualText
/K 169
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/S /Span
>>
endobj
1317 0 obj
<<
/ActualText (n)
/K 170
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/S /Span
>>
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1318 0 obj
<<
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/K 171
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/S /Span
>>
endobj
1319 0 obj
<<
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/K 172
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/S /Span
>>
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1320 0 obj
<<
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/K 173
/P 71 0 R
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/S /Span
>>
endobj
1321 0 obj
<<
/ActualText (\()
/K 174
/P 71 0 R
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/S /Span
>>
endobj
1322 0 obj
<<
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/K 175
/P 71 0 R
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/S /Span
>>
endobj
1323 0 obj
<<
/ActualText (\) can be )
/K 176
/P 71 0 R
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/S /Span
>>
endobj
1324 0 obj
<<
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/K 177
/P 71 0 R
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/S /Span
>>
endobj
1325 0 obj
<<
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/K 178
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/S /Span
>>
endobj
1326 0 obj
<<
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/K 179
/P 71 0 R
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/S /Span
>>
endobj
1327 0 obj
<<
/ActualText (\()
/K 180
/P 71 0 R
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/S /Span
>>
endobj
1328 0 obj
<<
/ActualText (s)
/K 181
/P 71 0 R
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/S /Span
>>
endobj
1329 0 obj
<<
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/K 182
/P 71 0 R
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/S /Span
>>
endobj
1330 0 obj
<<
/ActualText
/K 183
/P 71 0 R
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/S /Span
>>
endobj
1331 0 obj
<<
/ActualText ( )
/K 184
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1332 0 obj
<<
/ActualText (s)
/K 185
/P 71 0 R
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/S /Span
>>
endobj
1333 0 obj
<<
/ActualText (; and at )
/K 186
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1334 0 obj
<<
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/K 187
/P 71 0 R
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/S /Span
>>
endobj
1335 0 obj
<<
/ActualText
/K 188
/P 71 0 R
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/S /Span
>>
endobj
1336 0 obj
<<
/ActualText (n)
/K 189
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1337 0 obj
<<
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/K 190
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1338 0 obj
<<
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/K 191
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/S /Span
>>
endobj
1339 0 obj
<<
/ActualText (GI)
/K 192
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1340 0 obj
<<
/ActualText (\()
/K 193
/P 71 0 R
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/S /Span
>>
endobj
1341 0 obj
<<
/ActualText (s)
/K 194
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1342 0 obj
<<
/ActualText (\) can be simplified as an )
/K 195
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1343 0 obj
<<
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/K 196
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/S /Span
>>
endobj
1344 0 obj
<<
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/K 197
/P 71 0 R
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/S /InlineShape
>>
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1345 0 obj
<<
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/K 198
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/S /Span
>>
endobj
1346 0 obj
<<
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/K 199
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/S /Span
>>
endobj
1347 0 obj
<<
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/K 200
/P 71 0 R
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/S /Span
>>
endobj
1348 0 obj
<<
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/K 201
/P 71 0 R
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/S /Span
>>
endobj
1349 0 obj
<<
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/K 202
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1350 0 obj
<<
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/K 203
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1351 0 obj
<<
/ActualText
/K 204
/P 71 0 R
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/S /Span
>>
endobj
1352 0 obj
<<
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/K 205
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/S /InlineShape
>>
endobj
1353 0 obj
<<
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/K 206
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1354 0 obj
<<
/ActualText (s)
/K 207
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1355 0 obj
<<
/ActualText (, as shown )
/K 208
/P 71 0 R
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/S /Span
>>
endobj
1356 0 obj
<<
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/K 209
/P 71 0 R
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/S /Span
>>
endobj
1357 0 obj
<<
/ActualText ( )
/K 210
/P 71 0 R
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/S /Span
>>
endobj
1358 0 obj
<<
/ActualText (Fig. 3. )
/K 211
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1359 0 obj
<<
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/K 212
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1360 0 obj
<<
/ActualText (n order to make a maximum utilization of its )
/K 213
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1361 0 obj
<<
/ActualText (derivative characteristic, )
/K 214
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1362 0 obj
<<
/ActualText
/K 215
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1363 0 obj
<<
/ActualText (n)
/K 216
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1364 0 obj
<<
/ActualText ( )
/K 217
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1365 0 obj
<<
/ActualText (is set to the Nyquist frequency, )
/K 218
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1366 0 obj
<<
/ActualText (which is )
/K 219
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1367 0 obj
<<
/ActualText
/K 220
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1368 0 obj
<<
/ActualText (n)
/K 221
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1369 0 obj
<<
/ActualText ( )
/K 222
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1370 0 obj
<<
/ActualText (= )
/K 223
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1371 0 obj
<<
/ActualText
/K 224
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1372 0 obj
<<
/ActualText (10)
/K 225
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1373 0 obj
<<
/ActualText (4)
/K 226
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1374 0 obj
<<
/ActualText ( )
/K 227
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1375 0 obj
<<
/ActualText (rad/s for 10)
/K 228
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1376 0 obj
<<
/ActualText (-)
/K 229
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1377 0 obj
<<
/ActualText (kHz sampling. However, )
/K 230
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1378 0 obj
<<
/ActualText (with an infinite gain at )
/K 231
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1379 0 obj
<<
/ActualText
/K 232
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1380 0 obj
<<
/ActualText (n)
/K 233
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1381 0 obj
<<
/ActualText (, the ideal GI will suffer from )
/K 234
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1382 0 obj
<<
/ActualText (the )
/K 235
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1383 0 obj
<<
/ActualText (noise amplification)
/K 236
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1384 0 obj
<<
/ActualText ( )
/K 237
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1385 0 obj
<<
/ActualText (problem. )
/K 238
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1386 0 obj
<<
/ActualText (T)
/K 239
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1387 0 obj
<<
/ActualText (o overcome this drawback, a )
/K 240
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1388 0 obj
<<
/ActualText (nonideal GI is constructed by adding a damping term )
/K 241
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1389 0 obj
<<
/ActualText
/K 242
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1390 0 obj
<<
/ActualText (c)
/K 243
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1391 0 obj
<<
/ActualText (s)
/K 244
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1392 0 obj
<<
/ActualText ( )
/K 245
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1393 0 obj
<<
/ActualText (to )
/K 246
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1394 0 obj
<<
/ActualText (the ideal one, i.e.,)
/K 247
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1395 0 obj
<<
/ActualText ( )
/K 248
/P 71 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1396 0 obj
<<
/Alt ()
/K 249
/P 4692 0 R
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/S /InlineShape
>>
endobj
1397 0 obj
<<
/ActualText (.)
/K 250
/P 4692 0 R
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/S /Span
>>
endobj
1398 0 obj
<<
/ActualText ( )
/K 251
/P 4692 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1399 0 obj
<<
/ActualText (\()
/K 252
/P 4693 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1400 0 obj
<<
/ActualText (8)
/K 253
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/Pg 17 0 R
/S /Span
>>
endobj
1401 0 obj
<<
/ActualText (\))
/K 254
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/Pg 17 0 R
/S /Span
>>
endobj
1402 0 obj
<<
/ActualText ( )
/K 255
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/Pg 17 0 R
/S /Span
>>
endobj
1403 0 obj
<<
/ActualText (The gain at )
/K 256
/P 73 0 R
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/S /Span
>>
endobj
1404 0 obj
<<
/ActualText
/K 257
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1405 0 obj
<<
/ActualText (n)
/K 258
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1406 0 obj
<<
/ActualText ( )
/K 259
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1407 0 obj
<<
/ActualText (is now reduced to |)
/K 260
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1408 0 obj
<<
/ActualText (G)
/K 261
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1409 0 obj
<<
/ActualText (nGI)
/K 262
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1410 0 obj
<<
/ActualText (\()
/K 263
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/Pg 17 0 R
/S /Span
>>
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1411 0 obj
<<
/ActualText (s)
/K 264
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1412 0 obj
<<
/ActualText (\))
/K 265
/P 73 0 R
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/S /Span
>>
endobj
1413 0 obj
<<
/ActualText (| =)
/K 266
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/S /Span
>>
endobj
1414 0 obj
<<
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/K 267
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/S /InlineShape
>>
endobj
1415 0 obj
<<
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/K 268
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/Pg 17 0 R
/S /Span
>>
endobj
1416 0 obj
<<
/ActualText
/K 269
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1417 0 obj
<<
/ActualText (c)
/K 270
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1418 0 obj
<<
/ActualText (, which )
/K 271
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1419 0 obj
<<
/ActualText (decreases with the in)
/K 272
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/S /Span
>>
endobj
1420 0 obj
<<
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/K 273
/P 73 0 R
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/S /Span
>>
endobj
1421 0 obj
<<
/ActualText
/K 274
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
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1422 0 obj
<<
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/K 275
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/Pg 17 0 R
/S /Span
>>
endobj
1423 0 obj
<<
/ActualText (. )
/K 276
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1424 0 obj
<<
/ActualText (A)
/K 277
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
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1425 0 obj
<<
/ActualText ( )
/K 278
/P 73 0 R
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/S /Span
>>
endobj
1426 0 obj
<<
/ActualText (larger )
/K 279
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
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1427 0 obj
<<
/ActualText
/K 280
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1428 0 obj
<<
/ActualText (c)
/K 281
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1429 0 obj
<<
/ActualText ( )
/K 282
/P 73 0 R
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/S /Span
>>
endobj
1430 0 obj
<<
/ActualText (thus leads to )
/K 283
/P 73 0 R
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/S /Span
>>
endobj
1431 0 obj
<<
/ActualText (a)
/K 284
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
1432 0 obj
<<
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/K 285
/P 73 0 R
/Pg 17 0 R
/S /Span
>>
endobj
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<<
/ActualText (ince the forward Euler destabilizes the )
/K 160
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1590 0 obj
<<
/ActualText (system, the backward E)
/K 161
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/ActualText (uler and Tustin are considered here. )
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/ActualText (H)
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<<
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<<
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/K 175
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<<
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<<
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/K 179
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<<
/ActualText (differentiators are given as)
/K 180
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<<
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<<
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<<
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<<
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<<
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<<
/ActualText ( )
/K 186
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endobj
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<<
/ActualText (\()
/K 187
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endobj
1617 0 obj
<<
/ActualText (11)
/K 188
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endobj
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<<
/ActualText (\))
/K 189
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<<
/ActualText ( )
/K 190
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>>
endobj
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<<
/ActualText (Frequency responses of )
/K 191
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endobj
1621 0 obj
<<
/ActualText (G)
/K 192
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>>
endobj
1622 0 obj
<<
/ActualText (back)
/K 193
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endobj
1623 0 obj
<<
/ActualText (\()
/K 194
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>>
endobj
1624 0 obj
<<
/ActualText (z)
/K 195
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>>
endobj
1625 0 obj
<<
/ActualText (\) and )
/K 196
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>>
endobj
1626 0 obj
<<
/ActualText (G)
/K 197
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>>
endobj
1627 0 obj
<<
/ActualText (tustin)
/K 198
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>>
endobj
1628 0 obj
<<
/ActualText (\()
/K 199
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>>
endobj
1629 0 obj
<<
/ActualText (z)
/K 200
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>>
endobj
1630 0 obj
<<
/ActualText (\) with the )
/K 201
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>>
endobj
1631 0 obj
<<
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/K 202
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>>
endobj
1632 0 obj
<<
/ActualText (f)
/K 203
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>>
endobj
1633 0 obj
<<
/ActualText (s)
/K 204
/P 86 0 R
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/S /Span
>>
endobj
1634 0 obj
<<
/ActualText ( )
/K 205
/P 86 0 R
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>>
endobj
1635 0 obj
<<
/ActualText (= 10 kHz are s)
/K 206
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endobj
1636 0 obj
<<
/ActualText (hown in Fig. 4, where an )
/K 207
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1639 0 obj
<<
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1640 0 obj
<<
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1641 0 obj
<<
/ActualText ( )
/K 212
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endobj
1642 0 obj
<<
/ActualText (Fig. )
/K 213
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endobj
1643 0 obj
<<
/ActualText (4)
/K 214
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>>
endobj
1644 0 obj
<<
/ActualText (. )
/K 215
/P 88 0 R
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/S /Span
>>
endobj
1645 0 obj
<<
/ActualText (Frequency responses of ideal, backward Euler, and Tustin )
/K 216
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>>
endobj
1646 0 obj
<<
/ActualText (differen)
/K 217
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>>
endobj
1647 0 obj
<<
/ActualText (tiators)
/K 218
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endobj
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<<
/ActualText (.)
/K 219
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>>
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1649 0 obj
<<
/ActualText ( )
/K 220
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>>
endobj
1650 0 obj
<<
/ActualText (faces visible disadvantage. Backward Euler differentiator )
/K 221
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>>
endobj
1651 0 obj
<<
/ActualText (yields a good magnitude response, but its phase rolls off and )
/K 222
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>>
endobj
1652 0 obj
<<
/ActualText (reaches zero as the frequency goes high. )
/K 223
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>>
endobj
1653 0 obj
<<
/ActualText (T)
/K 224
/P 89 0 R
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>>
endobj
1654 0 obj
<<
/ActualText (he large phase lag )
/K 225
/P 89 0 R
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/S /Span
>>
endobj
1655 0 obj
<<
/ActualText (will cause the loss of derivative effect, )
/K 226
/P 89 0 R
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/S /Span
>>
endobj
1656 0 obj
<<
/ActualText (which)
/K 227
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>>
endobj
1657 0 obj
<<
/ActualText ( )
/K 228
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/S /Span
>>
endobj
1658 0 obj
<<
/ActualText (thus limits its )
/K 229
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>>
endobj
1659 0 obj
<<
/ActualText (us)
/K 230
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>>
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1660 0 obj
<<
/ActualText (age to relatively low)
/K 231
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>>
endobj
1661 0 obj
<<
/ActualText (-)
/K 232
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>>
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1662 0 obj
<<
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/K 233
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/S /Span
>>
endobj
1663 0 obj
<<
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/K 234
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/S /Span
>>
endobj
1664 0 obj
<<
/ActualText ( )
/K 235
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/S /Span
>>
endobj
1665 0 obj
<<
/ActualText (differentiator shows a perfect phase response with an ideal 90)
/K 236
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>>
endobj
1666 0 obj
<<
/ActualText
/K 237
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/S /Span
>>
endobj
1667 0 obj
<<
/ActualText (, )
/K 238
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/S /Span
>>
endobj
1668 0 obj
<<
/ActualText (while its magnitude rises to infinite at the Nyquist frequency )
/K 239
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/S /Span
>>
endobj
1669 0 obj
<<
/ActualText (\(i.e., )
/K 240
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>>
endobj
1670 0 obj
<<
/ActualText (f)
/K 241
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>>
endobj
1671 0 obj
<<
/ActualText (s)
/K 242
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/S /Span
>>
endobj
1672 0 obj
<<
/ActualText ( )
/K 243
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/S /Span
>>
endobj
1673 0 obj
<<
/ActualText (/2 = 5 kHz\). This infinite gain will lead to noise )
/K 244
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/S /Span
>>
endobj
1674 0 obj
<<
/ActualText (amplification an)
/K 245
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>>
endobj
1675 0 obj
<<
/ActualText (d thus is unacceptable.)
/K 246
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>>
endobj
1676 0 obj
<<
/ActualText ( )
/K 247
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/S /Span
>>
endobj
1677 0 obj
<<
/ActualText (N)
/K 248
/P 90 0 R
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/S /Span
>>
endobj
1678 0 obj
<<
/ActualText (aturally, a question coming to mind is whether it is )
/K 249
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/Pg 18 0 R
/S /Span
>>
endobj
1679 0 obj
<<
/ActualText (possible for a digital differentiator to combine the advantages )
/K 250
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/S /Span
>>
endobj
1680 0 obj
<<
/ActualText (of both backward Euler and Tustin differentiators, which )
/K 251
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/S /Span
>>
endobj
1681 0 obj
<<
/ActualText (means to behave in )
/K 252
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/S /Span
>>
endobj
1682 0 obj
<<
/ActualText (magnitude)
/K 253
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>>
endobj
1683 0 obj
<<
/ActualText ( )
/K 254
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/Pg 18 0 R
/S /Span
>>
endobj
1684 0 obj
<<
/ActualText (as backward Euler )
/K 255
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>>
endobj
1685 0 obj
<<
/ActualText (differenti)
/K 256
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>>
endobj
1686 0 obj
<<
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/K 257
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/S /Span
>>
endobj
1687 0 obj
<<
/ActualText (A)
/K 258
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/S /Span
>>
endobj
1688 0 obj
<<
/ActualText (n intuitive )
/K 259
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/S /Span
>>
endobj
1689 0 obj
<<
/ActualText (idea for achieving this goal is to either raise the phase of )
/K 260
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/S /Span
>>
endobj
1690 0 obj
<<
/ActualText (backward Euler differentiator or attenuate the gain of Tustin )
/K 261
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/S /Span
>>
endobj
1691 0 obj
<<
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/K 262
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>>
endobj
1692 0 obj
<<
/ActualText (which)
/K 263
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/S /Span
>>
endobj
1693 0 obj
<<
/ActualText (, in other words, is to correct their )
/K 264
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/S /Span
>>
endobj
1694 0 obj
<<
/ActualText (frequency respons)
/K 265
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>>
endobj
1695 0 obj
<<
/ActualText (es to match the ideal differentiator. )
/K 266
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>>
endobj
1696 0 obj
<<
/ActualText (T)
/K 267
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>>
endobj
1697 0 obj
<<
/ActualText (o do )
/K 268
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>>
endobj
1698 0 obj
<<
/ActualText (that, a phase)
/K 269
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>>
endobj
1699 0 obj
<<
/ActualText (-)
/K 270
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>>
endobj
1700 0 obj
<<
/ActualText (lead compensator is needed for backward Euler )
/K 271
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>>
endobj
1701 0 obj
<<
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/K 272
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>>
endobj
1702 0 obj
<<
/ActualText (Tustin)
/K 273
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>>
endobj
1703 0 obj
<<
/ActualText ( )
/K 274
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/Pg 18 0 R
/S /Span
>>
endobj
1704 0 obj
<<
/ActualText (differentiator, a trap at the )
/K 275
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/Pg 18 0 R
/S /Span
>>
endobj
1705 0 obj
<<
/ActualText (Nyquist frequency is expected to cancel out its infinite gain.)
/K 276
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/Pg 18 0 R
/S /Span
>>
endobj
1706 0 obj
<<
/ActualText ( )
/K 277
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/Pg 18 0 R
/S /Span
>>
endobj
1707 0 obj
<<
/ActualText (B)
/K 278
/P 91 0 R
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/S /Span
>>
endobj
1708 0 obj
<<
/ActualText (. )
/K 279
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/Pg 18 0 R
/S /Span
>>
endobj
1709 0 obj
<<
/ActualText (First)
/K 280
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/S /Span
>>
endobj
1710 0 obj
<<
/ActualText (-)
/K 281
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/Pg 18 0 R
/S /Span
>>
endobj
1711 0 obj
<<
/ActualText (Order Differentiato)
/K 282
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/S /Span
>>
endobj
1712 0 obj
<<
/ActualText (r Based on Backward Euler Plus )
/K 283
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/Pg 18 0 R
/S /Span
>>
endobj
1713 0 obj
<<
/ActualText (Lead Compensator)
/K 284
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/Pg 18 0 R
/S /Span
>>
endobj
1714 0 obj
<<
/ActualText ( )
/K 285
/P 91 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1715 0 obj
<<
/ActualText (A)
/K 286
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1716 0 obj
<<
/ActualText (s shown in Fig. 4, the phase lag of backward Euler )
/K 287
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/Pg 18 0 R
/S /Span
>>
endobj
1717 0 obj
<<
/ActualText (differentiator )
/K 288
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/S /Span
>>
endobj
1718 0 obj
<<
/ActualText (G)
/K 289
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/S /Span
>>
endobj
1719 0 obj
<<
/ActualText (back)
/K 290
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/Pg 18 0 R
/S /Span
>>
endobj
1720 0 obj
<<
/ActualText (\()
/K 291
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1721 0 obj
<<
/ActualText (z)
/K 292
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1722 0 obj
<<
/ActualText (\) is up to 90)
/K 293
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>>
endobj
1723 0 obj
<<
/ActualText
/K 294
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/S /Span
>>
endobj
1724 0 obj
<<
/ActualText ( )
/K 295
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1725 0 obj
<<
/ActualText (at the Nyquist frequency, )
/K 296
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/Pg 18 0 R
/S /Span
>>
endobj
1726 0 obj
<<
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/K 297
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/S /Span
>>
endobj
1727 0 obj
<<
/ActualText (compensate)
/K 298
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>>
endobj
1728 0 obj
<<
/ActualText ( )
/K 299
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>>
endobj
1729 0 obj
<<
/ActualText (this half sampling peri)
/K 300
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>>
endobj
1730 0 obj
<<
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/K 301
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>>
endobj
1731 0 obj
<<
/ActualText (-)
/K 302
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>>
endobj
1732 0 obj
<<
/ActualText (lag element )
/K 303
/P 92 0 R
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>>
endobj
1733 0 obj
<<
/ActualText ([30], a first)
/K 304
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>>
endobj
1734 0 obj
<<
/ActualText (-)
/K 305
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1735 0 obj
<<
/ActualText (order lead compensator [31], [32], and a )
/K 306
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/S /Span
>>
endobj
1736 0 obj
<<
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/K 307
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>>
endobj
1737 0 obj
<<
/ActualText (-)
/K 308
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/Pg 18 0 R
/S /Span
>>
endobj
1738 0 obj
<<
/ActualText (order generalized integrator [33] can be used. )
/K 309
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/Pg 18 0 R
/S /Span
>>
endobj
1739 0 obj
<<
/ActualText (D)
/K 310
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1740 0 obj
<<
/ActualText (ue to )
/K 311
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
endobj
1741 0 obj
<<
/ActualText (its effectiveness and simplicity, the first)
/K 312
/P 92 0 R
/Pg 18 0 R
/S /Span
>>
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1742 0 obj
<<
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/K 313
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>>
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1743 0 obj
<<
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/K 314
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>>
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>>
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1745 0 obj
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>>
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1750 0 obj
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1752 0 obj
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1753 0 obj
<<
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>>
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1754 0 obj
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/K 325
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>>
endobj
1755 0 obj
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/K 326
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>>
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1756 0 obj
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>>
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1757 0 obj
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1759 0 obj
<<
/ActualText (Fig. )
/K 2
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>>
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1760 0 obj
<<
/ActualText (5)
/K 3
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>>
endobj
1761 0 obj
<<
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/K 4
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>>
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1762 0 obj
<<
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/K 5
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>>
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1763 0 obj
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/K 6
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>>
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1764 0 obj
<<
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/K 7
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1765 0 obj
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/K 9
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>>
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<<
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/K 11
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1769 0 obj
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/K 12
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/K 13
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>>
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1771 0 obj
<<
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/K 14
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>>
endobj
1772 0 obj
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/K 15
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1773 0 obj
<<
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/K 16
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>>
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1774 0 obj
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/K 17
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1775 0 obj
<<
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/K 18
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>>
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1776 0 obj
<<
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/K 19
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>>
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1777 0 obj
<<
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/K 20
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>>
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1778 0 obj
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>>
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<<
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/K 22
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>>
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1781 0 obj
<<
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>>
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1782 0 obj
<<
/ActualText (1)
/K 25
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>>
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1783 0 obj
<<
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/K 26
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1784 0 obj
<<
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/K 27
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>>
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1785 0 obj
<<
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>>
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1786 0 obj
<<
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/K 29
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1787 0 obj
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/K 30
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>>
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<<
/ActualText ( )
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>>
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1789 0 obj
<<
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/K 32
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>>
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1790 0 obj
<<
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>>
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<<
/ActualText
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>>
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>>
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<<
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/K 36
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>>
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1794 0 obj
<<
/ActualText (When)
/K 37
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>>
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<<
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>>
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<<
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/K 39
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>>
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1797 0 obj
<<
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/K 40
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>>
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1798 0 obj
<<
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/K 41
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>>
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1799 0 obj
<<
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/K 42
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<<
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/K 43
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<<
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>>
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1802 0 obj
<<
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/K 45
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>>
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1803 0 obj
<<
/ActualText (\) = 1; and when )
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>>
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1804 0 obj
<<
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/K 47
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>>
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1805 0 obj
<<
/ActualText ( )
/K 48
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>>
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1806 0 obj
<<
/ActualText (= 1, )
/K 49
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>>
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1807 0 obj
<<
/ActualText (G)
/K 50
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>>
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1808 0 obj
<<
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/K 51
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>>
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<<
/ActualText (\()
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>>
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1810 0 obj
<<
/ActualText (z)
/K 53
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/S /Span
>>
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1811 0 obj
<<
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/K 54
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>>
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1812 0 obj
<<
/ActualText (z)
/K 55
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/S /Span
>>
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1813 0 obj
<<
/ActualText (/\()
/K 56
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/S /Span
>>
endobj
1814 0 obj
<<
/ActualText (z)
/K 57
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/S /Span
>>
endobj
1815 0 obj
<<
/ActualText (+1\). )
/K 58
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/S /Span
>>
endobj
1816 0 obj
<<
/ActualText (Frequency)
/K 59
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/S /Span
>>
endobj
1817 0 obj
<<
/ActualText ( )
/K 60
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/S /Span
>>
endobj
1818 0 obj
<<
/ActualText (response of )
/K 61
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/S /Span
>>
endobj
1819 0 obj
<<
/ActualText (G)
/K 62
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/S /Span
>>
endobj
1820 0 obj
<<
/ActualText (lead)
/K 63
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/S /Span
>>
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1821 0 obj
<<
/ActualText (\()
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/S /Span
>>
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1822 0 obj
<<
/ActualText (z)
/K 65
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/S /Span
>>
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1823 0 obj
<<
/ActualText (\) is shown in )
/K 66
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/S /Span
>>
endobj
1824 0 obj
<<
/ActualText (Fig. 5, where a phase lead is obtained, but the gain at high )
/K 67
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/S /Span
>>
endobj
1825 0 obj
<<
/ActualText (frequency is amplified as well. )
/K 68
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>>
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1826 0 obj
<<
/ActualText (A)
/K 69
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>>
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1827 0 obj
<<
/ActualText ( )
/K 70
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/S /Span
>>
endobj
1828 0 obj
<<
/ActualText (larger )
/K 71
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>>
endobj
1829 0 obj
<<
/ActualText (m)
/K 72
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/S /Span
>>
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1830 0 obj
<<
/ActualText ( )
/K 73
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>>
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1831 0 obj
<<
/ActualText (leads to a better )
/K 74
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/S /Span
>>
endobj
1832 0 obj
<<
/ActualText (compensation of the)
/K 75
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>>
endobj
1833 0 obj
<<
/ActualText ( )
/K 76
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/S /Span
>>
endobj
1834 0 obj
<<
/ActualText (phase, but a higher amplification of the )
/K 77
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/S /Span
>>
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1835 0 obj
<<
/ActualText (high)
/K 78
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>>
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1836 0 obj
<<
/ActualText (-)
/K 79
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>>
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1837 0 obj
<<
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/K 80
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/S /Span
>>
endobj
1838 0 obj
<<
/ActualText (F)
/K 81
/P 100 0 R
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/S /Span
>>
endobj
1839 0 obj
<<
/ActualText (or )
/K 82
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/S /Span
>>
endobj
1840 0 obj
<<
/ActualText (m)
/K 83
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/S /Span
>>
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1841 0 obj
<<
/ActualText ( )
/K 84
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/S /Span
>>
endobj
1842 0 obj
<<
/ActualText (= 1, a desired phase lead up to 90)
/K 85
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>>
endobj
1843 0 obj
<<
/ActualText
/K 86
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>>
endobj
1844 0 obj
<<
/ActualText ( )
/K 87
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/S /Span
>>
endobj
1845 0 obj
<<
/ActualText (is achieved, while an infinite gain appears at the Nyquist )
/K 88
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/S /Span
>>
endobj
1846 0 obj
<<
/ActualText (frequency. Therefore, a tradeoff between the phase lead )
/K 89
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/S /Span
>>
endobj
1847 0 obj
<<
/ActualText (compensation and the gain amplificat)
/K 90
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/S /Span
>>
endobj
1848 0 obj
<<
/ActualText (ion should be made to )
/K 91
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/S /Span
>>
endobj
1849 0 obj
<<
/ActualText (select a proper )
/K 92
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/S /Span
>>
endobj
1850 0 obj
<<
/ActualText (m)
/K 93
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>>
endobj
1851 0 obj
<<
/ActualText (.)
/K 94
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>>
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1852 0 obj
<<
/ActualText ( )
/K 95
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/S /Span
>>
endobj
1853 0 obj
<<
/ActualText (M)
/K 96
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/S /Span
>>
endobj
1854 0 obj
<<
/ActualText (ultiplying )
/K 97
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/S /Span
>>
endobj
1855 0 obj
<<
/ActualText (G)
/K 98
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>>
endobj
1856 0 obj
<<
/ActualText (back)
/K 99
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>>
endobj
1857 0 obj
<<
/ActualText (\()
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>>
endobj
1858 0 obj
<<
/ActualText (z)
/K 101
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/S /Span
>>
endobj
1859 0 obj
<<
/ActualText (\) in \(11\) and )
/K 102
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/S /Span
>>
endobj
1860 0 obj
<<
/ActualText (G)
/K 103
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>>
endobj
1861 0 obj
<<
/ActualText (lead)
/K 104
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>>
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1862 0 obj
<<
/ActualText (\()
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/S /Span
>>
endobj
1863 0 obj
<<
/ActualText (z)
/K 106
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/S /Span
>>
endobj
1864 0 obj
<<
/ActualText (\) in \(12\), a first)
/K 107
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/S /Span
>>
endobj
1865 0 obj
<<
/ActualText (-)
/K 108
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/S /Span
>>
endobj
1866 0 obj
<<
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/K 109
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/S /Span
>>
endobj
1867 0 obj
<<
/ActualText (differentiator based on backward Euler plus lead compensator )
/K 110
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/S /Span
>>
endobj
1868 0 obj
<<
/ActualText (\(backward)
/K 111
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>>
endobj
1869 0 obj
<<
/ActualText (-)
/K 112
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/S /Span
>>
endobj
1870 0 obj
<<
/ActualText (lead\) is constructed, )
/K 113
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/S /Span
>>
endobj
1871 0 obj
<<
/ActualText (and it is )
/K 114
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>>
endobj
1872 0 obj
<<
/ActualText (expressed as)
/K 115
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/S /Span
>>
endobj
1873 0 obj
<<
/ActualText ( )
/K 116
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/S /Span
>>
endobj
1874 0 obj
<<
/Alt ()
/K 117
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/S /InlineShape
>>
endobj
1875 0 obj
<<
/ActualText (.)
/K 118
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/S /Span
>>
endobj
1876 0 obj
<<
/ActualText ( )
/K 119
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/S /Span
>>
endobj
1877 0 obj
<<
/ActualText (\()
/K 120
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>>
endobj
1878 0 obj
<<
/ActualText (1)
/K 121
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/S /Span
>>
endobj
1879 0 obj
<<
/ActualText (3)
/K 122
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/S /Span
>>
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1880 0 obj
<<
/ActualText (\))
/K 123
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/S /Span
>>
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1881 0 obj
<<
/ActualText ( )
/K 124
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/S /Span
>>
endobj
1882 0 obj
<<
/ActualText (Note)
/K 125
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/S /Span
>>
endobj
1883 0 obj
<<
/ActualText ( )
/K 126
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/S /Span
>>
endobj
1884 0 obj
<<
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/K 127
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/S /Span
>>
endobj
1885 0 obj
<<
/ActualText (m)
/K 128
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/S /Span
>>
endobj
1886 0 obj
<<
/ActualText ( )
/K 129
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/S /Span
>>
endobj
1887 0 obj
<<
/ActualText (= 0 and )
/K 130
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/Pg 19 0 R
/S /Span
>>
endobj
1888 0 obj
<<
/ActualText (m)
/K 131
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/S /Span
>>
endobj
1889 0 obj
<<
/ActualText ( )
/K 132
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/S /Span
>>
endobj
1890 0 obj
<<
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/K 133
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/S /Span
>>
endobj
1891 0 obj
<<
/ActualText (G)
/K 134
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/S /Span
>>
endobj
1892 0 obj
<<
/ActualText (back)
/K 135
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/S /Span
>>
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1893 0 obj
<<
/ActualText (-)
/K 136
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>>
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1894 0 obj
<<
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/K 137
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/S /Span
>>
endobj
1895 0 obj
<<
/ActualText (\()
/K 138
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/S /Span
>>
endobj
1896 0 obj
<<
/ActualText (z)
/K 139
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/S /Span
>>
endobj
1897 0 obj
<<
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/K 140
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/S /Span
>>
endobj
1898 0 obj
<<
/ActualText (G)
/K 141
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/S /Span
>>
endobj
1899 0 obj
<<
/ActualText (back)
/K 142
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/Pg 19 0 R
/S /Span
>>
endobj
1900 0 obj
<<
/ActualText (\()
/K 143
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1901 0 obj
<<
/ActualText (z)
/K 144
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1902 0 obj
<<
/ActualText (\) and )
/K 145
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1903 0 obj
<<
/ActualText (G)
/K 146
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1904 0 obj
<<
/ActualText (tustin)
/K 147
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1905 0 obj
<<
/ActualText (\()
/K 148
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1906 0 obj
<<
/ActualText (z)
/K 149
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1907 0 obj
<<
/ActualText (\), respectively. )
/K 150
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1908 0 obj
<<
/ActualText (T)
/K 151
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1909 0 obj
<<
/ActualText (his property is also )
/K 152
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1910 0 obj
<<
/ActualText ( )
/K 153
/P 103 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1911 0 obj
<<
/Alt ()
/K 154
/P 104 0 R
/Pg 19 0 R
/S /InlineShape
>>
endobj
1912 0 obj
<<
/ActualText ( )
/K 155
/P 104 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1913 0 obj
<<
/ActualText (Fig. )
/K 156
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1914 0 obj
<<
/ActualText (7)
/K 157
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1915 0 obj
<<
/ActualText (. )
/K 158
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1916 0 obj
<<
/ActualText (Frequency response of second)
/K 159
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1917 0 obj
<<
/ActualText (-)
/K 160
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1918 0 obj
<<
/ActualText (order digital notch filter.)
/K 161
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1919 0 obj
<<
/ActualText ( )
/K 162
/P 105 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1920 0 obj
<<
/Alt ()
/K 163
/P 106 0 R
/Pg 19 0 R
/S /InlineShape
>>
endobj
1921 0 obj
<<
/ActualText ( )
/K 164
/P 106 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1922 0 obj
<<
/ActualText (Fig. )
/K 165
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1923 0 obj
<<
/ActualText (8)
/K 166
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1924 0 obj
<<
/ActualText (. )
/K 167
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1925 0 obj
<<
/ActualText (Frequency response of second)
/K 168
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1926 0 obj
<<
/ActualText (-)
/K 169
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1927 0 obj
<<
/ActualText (order Tustin)
/K 170
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1928 0 obj
<<
/ActualText (-)
/K 171
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1929 0 obj
<<
/ActualText (DNF)
/K 172
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1930 0 obj
<<
/ActualText ( )
/K 173
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1931 0 obj
<<
/ActualText (differentiator.)
/K 174
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1932 0 obj
<<
/ActualText ( )
/K 175
/P 107 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1933 0 obj
<<
/ActualText (identified in Fig. 6. )
/K 176
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1934 0 obj
<<
/ActualText (A)
/K 177
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1935 0 obj
<<
/ActualText (s seen, )
/K 178
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1936 0 obj
<<
/ActualText (G)
/K 179
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1937 0 obj
<<
/ActualText (back)
/K 180
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1938 0 obj
<<
/ActualText (-)
/K 181
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1939 0 obj
<<
/ActualText (lead)
/K 182
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1940 0 obj
<<
/ActualText (\()
/K 183
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1941 0 obj
<<
/ActualText (z)
/K 184
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1942 0 obj
<<
/ActualText (\) behaves more like )
/K 185
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1943 0 obj
<<
/ActualText (backward Euler differentiator if )
/K 186
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1944 0 obj
<<
/ActualText (m)
/K 187
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1945 0 obj
<<
/ActualText ( )
/K 188
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1946 0 obj
<<
/ActualText (is closer to 0, and more like )
/K 189
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1947 0 obj
<<
/ActualText (Tustin differentiator if )
/K 190
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1948 0 obj
<<
/ActualText (m)
/K 191
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1949 0 obj
<<
/ActualText ( )
/K 192
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1950 0 obj
<<
/ActualText (is closer to 1. )
/K 193
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1951 0 obj
<<
/ActualText (T)
/K 194
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1952 0 obj
<<
/ActualText (herefore, )
/K 195
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1953 0 obj
<<
/ActualText (G)
/K 196
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1954 0 obj
<<
/ActualText (back)
/K 197
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1955 0 obj
<<
/ActualText (-)
/K 198
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1956 0 obj
<<
/ActualText (lead)
/K 199
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1957 0 obj
<<
/ActualText (\()
/K 200
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1958 0 obj
<<
/ActualText (z)
/K 201
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1959 0 obj
<<
/ActualText (\) )
/K 202
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1960 0 obj
<<
/ActualText (can be )
/K 203
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1961 0 obj
<<
/ActualText (regarded)
/K 204
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1962 0 obj
<<
/ActualText ( )
/K 205
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1963 0 obj
<<
/ActualText (as a general form of digital differentiator, )
/K 206
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1964 0 obj
<<
/ActualText (whose performance can be )
/K 207
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1965 0 obj
<<
/ActualText (flexibly)
/K 208
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1966 0 obj
<<
/ActualText ( )
/K 209
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1967 0 obj
<<
/ActualText (adjusted depending on the )
/K 210
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1968 0 obj
<<
/ActualText (value of )
/K 211
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1969 0 obj
<<
/ActualText (m)
/K 212
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1970 0 obj
<<
/ActualText (. Here, )
/K 213
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1971 0 obj
<<
/ActualText (m)
/K 214
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1972 0 obj
<<
/ActualText ( )
/K 215
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1973 0 obj
<<
/ActualText (= 0.8 is selected as it gives a closer match )
/K 216
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1974 0 obj
<<
/ActualText (with the ideal differentiator.)
/K 217
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1975 0 obj
<<
/ActualText ( )
/K 218
/P 108 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1976 0 obj
<<
/ActualText (C)
/K 219
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1977 0 obj
<<
/ActualText (. )
/K 220
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1978 0 obj
<<
/ActualText (Second)
/K 221
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1979 0 obj
<<
/ActualText (-)
/K 222
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1980 0 obj
<<
/ActualText (Order Differentiator Based )
/K 223
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1981 0 obj
<<
/ActualText (on Tustin Plus Digital )
/K 224
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1982 0 obj
<<
/ActualText (Notch Filter)
/K 225
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1983 0 obj
<<
/ActualText ( )
/K 226
/P 109 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1984 0 obj
<<
/ActualText (F)
/K 227
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1985 0 obj
<<
/ActualText (or Tustin differentiator, a gain trap at the Nyquist )
/K 228
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1986 0 obj
<<
/ActualText (frequency is required, and it can be produced by either a )
/K 229
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1987 0 obj
<<
/ActualText (continuous [34] or a digital [35] notch filter. )
/K 230
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1988 0 obj
<<
/ActualText (D)
/K 231
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1989 0 obj
<<
/ActualText (ue to its direct )
/K 232
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1990 0 obj
<<
/ActualText (discrete nature, the digital notch filter )
/K 233
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1991 0 obj
<<
/ActualText (is preferred here. )
/K 234
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1992 0 obj
<<
/ActualText (R)
/K 235
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1993 0 obj
<<
/ActualText (ecalling )
/K 236
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1994 0 obj
<<
/ActualText (G)
/K 237
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1995 0 obj
<<
/ActualText (tustin)
/K 238
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1996 0 obj
<<
/ActualText (\()
/K 239
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1997 0 obj
<<
/ActualText (z)
/K 240
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1998 0 obj
<<
/ActualText (\) in \(11\), it is clear to see that there is a pole )
/K 241
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
1999 0 obj
<<
/ActualText (located at the Nyquist frequency, i.e.,)
/K 242
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2000 0 obj
<<
/ActualText ( )
/K 243
/P 110 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2001 0 obj
<<
/Alt ()
/K 244
/P 4706 0 R
/Pg 19 0 R
/S /InlineShape
>>
endobj
2002 0 obj
<<
/ActualText (.)
/K 245
/P 4706 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2003 0 obj
<<
/ActualText ( )
/K 246
/P 4706 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2004 0 obj
<<
/ActualText (\()
/K 247
/P 4707 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2005 0 obj
<<
/ActualText (1)
/K 248
/P 4707 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2006 0 obj
<<
/ActualText (4)
/K 249
/P 4707 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2007 0 obj
<<
/ActualText (\))
/K 250
/P 4707 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2008 0 obj
<<
/ActualText ( )
/K 251
/P 4707 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2009 0 obj
<<
/ActualText (Exactly, it is the pole )
/K 252
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2010 0 obj
<<
/ActualText (z)
/K 253
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2011 0 obj
<<
/ActualText ( )
/K 254
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2012 0 obj
<<
/ActualText (= )
/K 255
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2013 0 obj
<<
/ActualText
/K 256
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2014 0 obj
<<
/ActualText (1 )
/K 257
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2015 0 obj
<<
/ActualText (which)
/K 258
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2016 0 obj
<<
/ActualText ( )
/K 259
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2017 0 obj
<<
/ActualText (causes the infinite gain )
/K 260
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2018 0 obj
<<
/ActualText (at the Nyquist frequency. Thus)
/K 261
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2019 0 obj
<<
/ActualText (, to cancel out this infinite gain, )
/K 262
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2020 0 obj
<<
/ActualText (a zero )
/K 263
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2021 0 obj
<<
/ActualText (z)
/K 264
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2022 0 obj
<<
/ActualText ( )
/K 265
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2023 0 obj
<<
/ActualText (= )
/K 266
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2024 0 obj
<<
/ActualText
/K 267
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2025 0 obj
<<
/ActualText (1 should be provided. )
/K 268
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2026 0 obj
<<
/ActualText (A)
/K 269
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2027 0 obj
<<
/ActualText ( )
/K 270
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2028 0 obj
<<
/ActualText (second)
/K 271
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2029 0 obj
<<
/ActualText (-)
/K 272
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2030 0 obj
<<
/ActualText (order digital notch )
/K 273
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2031 0 obj
<<
/ActualText ( )
/K 274
/P 112 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2032 0 obj
<<
/K 275
/P 95 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2033 0 obj
<<
/ActualText (IEEE )
/K 276
/P 4608 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2034 0 obj
<<
/ActualText (TRANSACTIONS ON POWER ELECTRONICS)
/K 277
/P 4608 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2035 0 obj
<<
/ActualText ( )
/K 278
/P 4608 0 R
/Pg 19 0 R
/S /Span
>>
endobj
2036 0 obj
<<
/Alt ()
/K 0
/P 113 0 R
/Pg 20 0 R
/S /InlineShape
>>
endobj
2037 0 obj
<<
/ActualText ( )
/K 1
/P 113 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2038 0 obj
<<
/ActualText (Fig. )
/K 2
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2039 0 obj
<<
/ActualText (9)
/K 3
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2040 0 obj
<<
/ActualText (. )
/K 4
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2041 0 obj
<<
/ActualText (Frequency responses of nonideal)
/K 5
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2042 0 obj
<<
/ActualText (-)
/K 6
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2043 0 obj
<<
/ActualText (GI, backward)
/K 7
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2044 0 obj
<<
/ActualText (-)
/K 8
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2045 0 obj
<<
/ActualText (lead, and Tustin)
/K 9
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2046 0 obj
<<
/ActualText (-)
/K 10
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2047 0 obj
<<
/ActualText (DNF )
/K 11
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2048 0 obj
<<
/ActualText (differentiators)
/K 12
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2049 0 obj
<<
/ActualText (.)
/K 13
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2050 0 obj
<<
/ActualText ( )
/K 14
/P 115 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2051 0 obj
<<
/ActualText (filter dedicated to this purpose i)
/K 15
/P 116 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2052 0 obj
<<
/ActualText (s given as)
/K 16
/P 116 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2053 0 obj
<<
/ActualText ( )
/K 17
/P 116 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2054 0 obj
<<
/Alt ()
/K 18
/P 4708 0 R
/Pg 20 0 R
/S /InlineShape
>>
endobj
2055 0 obj
<<
/ActualText (.)
/K 19
/P 4708 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2056 0 obj
<<
/ActualText ( )
/K 20
/P 4708 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2057 0 obj
<<
/ActualText (\()
/K 21
/P 4709 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2058 0 obj
<<
/ActualText (1)
/K 22
/P 4709 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2059 0 obj
<<
/ActualText (5)
/K 23
/P 4709 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2060 0 obj
<<
/ActualText (\))
/K 24
/P 4709 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2061 0 obj
<<
/ActualText ( )
/K 25
/P 4709 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2062 0 obj
<<
/ActualText (O)
/K 26
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2063 0 obj
<<
/ActualText (wing to its selective filtering characteristic, )
/K 27
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2064 0 obj
<<
/ActualText (G)
/K 28
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2065 0 obj
<<
/ActualText (DNF)
/K 29
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2066 0 obj
<<
/ActualText (\()
/K 30
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2067 0 obj
<<
/ActualText (z)
/K 31
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2068 0 obj
<<
/ActualText (\) has )
/K 32
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2069 0 obj
<<
/ActualText (been widely used in multi)
/K 33
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2070 0 obj
<<
/ActualText (-)
/K 34
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2071 0 obj
<<
/ActualText (sampled digitally controlled )
/K 35
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2072 0 obj
<<
/ActualText (systems for switching)
/K 36
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2073 0 obj
<<
/ActualText (-)
/K 37
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2074 0 obj
<<
/ActualText (ripple removal [35]. )
/K 38
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2075 0 obj
<<
/ActualText (N)
/K 39
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2076 0 obj
<<
/ActualText (ote that, w)
/K 40
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2077 0 obj
<<
/ActualText (hen)
/K 41
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2078 0 obj
<<
/ActualText ( )
/K 42
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2079 0 obj
<<
/ActualText (k)
/K 43
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2080 0 obj
<<
/ActualText ( )
/K 44
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2081 0 obj
<<
/ActualText (= 0, )
/K 45
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2082 0 obj
<<
/ActualText (G)
/K 46
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2083 0 obj
<<
/ActualText (DNF)
/K 47
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2084 0 obj
<<
/ActualText (\()
/K 48
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2085 0 obj
<<
/ActualText (z)
/K 49
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2086 0 obj
<<
/ActualText (\) = 1; and when )
/K 50
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2087 0 obj
<<
/ActualText (k)
/K 51
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2088 0 obj
<<
/ActualText ( )
/K 52
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2089 0 obj
<<
/ActualText (appr)
/K 53
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2090 0 obj
<<
/ActualText (oaches infinite, )
/K 54
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2091 0 obj
<<
/ActualText (G)
/K 55
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2092 0 obj
<<
/ActualText (DNF)
/K 56
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2093 0 obj
<<
/ActualText (\()
/K 57
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2094 0 obj
<<
/ActualText (z)
/K 58
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2095 0 obj
<<
/ActualText (\) = )
/K 59
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2096 0 obj
<<
/ActualText (\(2)
/K 60
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2097 0 obj
<<
/ActualText (z)
/K 61
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2098 0 obj
<<
/ActualText
/K 62
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2099 0 obj
<<
/ActualText (1\)\()
/K 63
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2100 0 obj
<<
/ActualText (z)
/K 64
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2101 0 obj
<<
/ActualText (+1\)/\(2)
/K 65
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2102 0 obj
<<
/ActualText (z)
/K 66
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2103 0 obj
<<
/ActualText (2)
/K 67
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2104 0 obj
<<
/ActualText (\). )
/K 68
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2105 0 obj
<<
/ActualText (Frequency)
/K 69
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2106 0 obj
<<
/ActualText ( )
/K 70
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2107 0 obj
<<
/ActualText (response of )
/K 71
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2108 0 obj
<<
/ActualText (G)
/K 72
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2109 0 obj
<<
/ActualText (DNF)
/K 73
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2110 0 obj
<<
/ActualText (\()
/K 74
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2111 0 obj
<<
/ActualText (z)
/K 75
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2112 0 obj
<<
/ActualText (\) is shown in )
/K 76
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2113 0 obj
<<
/ActualText (Fig. 7, where a gain trap is readily identified. )
/K 77
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2114 0 obj
<<
/ActualText (Meanwhile)
/K 78
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2115 0 obj
<<
/ActualText (, a )
/K 79
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2116 0 obj
<<
/ActualText (phase shift, depending on )
/K 80
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2117 0 obj
<<
/ActualText (k)
/K 81
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2118 0 obj
<<
/ActualText (, is introduced near the Nyquist )
/K 82
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2119 0 obj
<<
/ActualText (frequency. Increasing )
/K 83
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2120 0 obj
<<
/ActualText (k)
/K 84
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2121 0 obj
<<
/ActualText ( )
/K 85
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2122 0 obj
<<
/ActualText
/K 86
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2123 0 obj
<<
/ActualText ( )
/K 87
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2124 0 obj
<<
/ActualText (have much effect on the )
/K 88
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2125 0 obj
<<
/ActualText (magnitude characteri)
/K 89
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2126 0 obj
<<
/ActualText (stic, but delays the phase a lot. )
/K 90
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2127 0 obj
<<
/ActualText (T)
/K 91
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2128 0 obj
<<
/ActualText (herefore, )
/K 92
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2129 0 obj
<<
/ActualText (a smaller )
/K 93
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2130 0 obj
<<
/ActualText (k)
/K 94
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2131 0 obj
<<
/ActualText ( )
/K 95
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2132 0 obj
<<
/ActualText (\(say )
/K 96
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2133 0 obj
<<
/ActualText (k)
/K 97
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2134 0 obj
<<
/ActualText ( )
/K 98
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2135 0 obj
<<
/ActualText (= 0.5\) is selected to minimize the undesired )
/K 99
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2136 0 obj
<<
/ActualText (phase shift.)
/K 100
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2137 0 obj
<<
/ActualText ( )
/K 101
/P 118 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2138 0 obj
<<
/ActualText (M)
/K 102
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2139 0 obj
<<
/ActualText (ultiplying )
/K 103
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2140 0 obj
<<
/ActualText (G)
/K 104
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2141 0 obj
<<
/ActualText (tustin)
/K 105
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2142 0 obj
<<
/ActualText (\()
/K 106
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2143 0 obj
<<
/ActualText (z)
/K 107
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2144 0 obj
<<
/ActualText (\) in \(11\) and )
/K 108
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2145 0 obj
<<
/ActualText (G)
/K 109
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2146 0 obj
<<
/ActualText (DNF)
/K 110
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2147 0 obj
<<
/ActualText (\()
/K 111
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2148 0 obj
<<
/ActualText (z)
/K 112
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2149 0 obj
<<
/ActualText (\) in \(15\), a )
/K 113
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2150 0 obj
<<
/ActualText (second)
/K 114
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2151 0 obj
<<
/ActualText (-)
/K 115
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2152 0 obj
<<
/ActualText (order differentiator based on Tustin plus digital notch )
/K 116
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2153 0 obj
<<
/ActualText (filter \(Tustin)
/K 117
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2154 0 obj
<<
/ActualText (-)
/K 118
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2155 0 obj
<<
/ActualText (DN)
/K 119
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2156 0 obj
<<
/ActualText (F\) is constructed, )
/K 120
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2157 0 obj
<<
/ActualText (and it is )
/K 121
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2158 0 obj
<<
/ActualText (expressed as)
/K 122
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2159 0 obj
<<
/ActualText ( )
/K 123
/P 119 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2160 0 obj
<<
/Alt ()
/K 124
/P 4710 0 R
/Pg 20 0 R
/S /InlineShape
>>
endobj
2161 0 obj
<<
/ActualText (.)
/K 125
/P 4710 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2162 0 obj
<<
/ActualText ( )
/K 126
/P 4710 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2163 0 obj
<<
/ActualText (\()
/K 127
/P 4711 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2164 0 obj
<<
/ActualText (1)
/K 128
/P 4711 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2165 0 obj
<<
/ActualText (6)
/K 129
/P 4711 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2166 0 obj
<<
/ActualText (\))
/K 130
/P 4711 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2167 0 obj
<<
/ActualText ( )
/K 131
/P 4711 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2168 0 obj
<<
/ActualText (O)
/K 132
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2169 0 obj
<<
/ActualText (bviously, for )
/K 133
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2170 0 obj
<<
/ActualText (k)
/K 134
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2171 0 obj
<<
/ActualText ( )
/K 135
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2172 0 obj
<<
/ActualText (= 0, )
/K 136
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2173 0 obj
<<
/ActualText (G)
/K 137
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2174 0 obj
<<
/ActualText (tustin)
/K 138
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2175 0 obj
<<
/ActualText (-)
/K 139
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2176 0 obj
<<
/ActualText (DNF)
/K 140
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2177 0 obj
<<
/ActualText (\()
/K 141
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2178 0 obj
<<
/ActualText (z)
/K 142
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2179 0 obj
<<
/ActualText (\) is reduced to )
/K 143
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2180 0 obj
<<
/ActualText (G)
/K 144
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2181 0 obj
<<
/ActualText (tustin)
/K 145
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2182 0 obj
<<
/ActualText (\()
/K 146
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2183 0 obj
<<
/ActualText (z)
/K 147
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2184 0 obj
<<
/ActualText (\). )
/K 148
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2185 0 obj
<<
/ActualText (Frequency)
/K 149
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2186 0 obj
<<
/ActualText ( )
/K 150
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2187 0 obj
<<
/ActualText (response of )
/K 151
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2188 0 obj
<<
/ActualText (G)
/K 152
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2189 0 obj
<<
/ActualText (tustin)
/K 153
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2190 0 obj
<<
/ActualText (-)
/K 154
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2191 0 obj
<<
/ActualText (DNF)
/K 155
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2192 0 obj
<<
/ActualText (\()
/K 156
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2193 0 obj
<<
/ActualText (z)
/K 157
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2194 0 obj
<<
/ActualText (\) is shown in Fig. 8, )
/K 158
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2195 0 obj
<<
/ActualText (together with those of ideal and backward Euler differenti)
/K 159
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2196 0 obj
<<
/ActualText (ators )
/K 160
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2197 0 obj
<<
/ActualText (for comparison. )
/K 161
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2198 0 obj
<<
/ActualText (W)
/K 162
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2199 0 obj
<<
/ActualText (ith )
/K 163
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2200 0 obj
<<
/ActualText (k)
/K 164
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2201 0 obj
<<
/ActualText ( )
/K 165
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2202 0 obj
<<
/ActualText (= 0.5, the infinite gain caused by )
/K 166
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2203 0 obj
<<
/ActualText (Tustin is clearly flattened, at the cost of a slight phase lag near )
/K 167
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2204 0 obj
<<
/ActualText (the Nyquist frequency. This phase lag, although )
/K 168
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2205 0 obj
<<
/ActualText (cannot)
/K 169
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2206 0 obj
<<
/ActualText ( )
/K 170
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2207 0 obj
<<
/ActualText (be )
/K 171
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2208 0 obj
<<
/ActualText (eliminated, is quite smaller than that of backward Euler )
/K 172
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2209 0 obj
<<
/ActualText (different)
/K 173
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2210 0 obj
<<
/ActualText (iator. )
/K 174
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2211 0 obj
<<
/ActualText (T)
/K 175
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2212 0 obj
<<
/ActualText (herefore, the second)
/K 176
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2213 0 obj
<<
/ActualText (-)
/K 177
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2214 0 obj
<<
/ActualText (order Tustin)
/K 178
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2215 0 obj
<<
/ActualText (-)
/K 179
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2216 0 obj
<<
/ActualText (DNF )
/K 180
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2217 0 obj
<<
/ActualText (differentiator achieves a good compromise between Tustin and )
/K 181
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2218 0 obj
<<
/ActualText (backward Euler differentiators.)
/K 182
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2219 0 obj
<<
/ActualText ( )
/K 183
/P 121 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2220 0 obj
<<
/ActualText (I)
/K 184
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2221 0 obj
<<
/ActualText (t is worth noting that the Tustin)
/K 185
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2222 0 obj
<<
/ActualText (-)
/K 186
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2223 0 obj
<<
/ActualText (DNF differentiator doesn)
/K 187
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2224 0 obj
<<
/ActualText
/K 188
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2225 0 obj
<<
/ActualText (t )
/K 189
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2226 0 obj
<<
/ActualText (show generality as the backward)
/K 190
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2227 0 obj
<<
/ActualText (-)
/K 191
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2228 0 obj
<<
/ActualText (lead differentiator giv)
/K 192
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2229 0 obj
<<
/ActualText (en in )
/K 193
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2230 0 obj
<<
/ActualText (\(13\), and it is a )
/K 194
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2231 0 obj
<<
/ActualText (little)
/K 195
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2232 0 obj
<<
/ActualText ( )
/K 196
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2233 0 obj
<<
/ActualText (more complicated due to the )
/K 197
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2234 0 obj
<<
/ActualText (second)
/K 198
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2235 0 obj
<<
/ActualText (-)
/K 199
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2236 0 obj
<<
/ActualText (order manner. )
/K 200
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2237 0 obj
<<
/ActualText (D)
/K 201
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2238 0 obj
<<
/ActualText (espite that, the proposing of )
/K 202
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2239 0 obj
<<
/ActualText (Tustin)
/K 203
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2240 0 obj
<<
/ActualText (-)
/K 204
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2241 0 obj
<<
/ActualText (DNF differentiator is still of interest, since it provides a )
/K 205
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2242 0 obj
<<
/ActualText (different perspective to cope with the problems faced by )
/K 206
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2243 0 obj
<<
/ActualText (conventional differe)
/K 207
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2244 0 obj
<<
/ActualText (ntiators.)
/K 208
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2245 0 obj
<<
/ActualText ( )
/K 209
/P 122 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2246 0 obj
<<
/Alt ()
/K 210
/P 123 0 R
/Pg 20 0 R
/S /InlineShape
>>
endobj
2247 0 obj
<<
/ActualText ( )
/K 211
/P 123 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2248 0 obj
<<
/ActualText (Fig. )
/K 212
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2249 0 obj
<<
/ActualText (10)
/K 213
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2250 0 obj
<<
/ActualText (. )
/K 214
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2251 0 obj
<<
/ActualText (Root loci of the closed)
/K 215
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2252 0 obj
<<
/ActualText (-)
/K 216
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2253 0 obj
<<
/ActualText (loop systems by varying the damping gain )
/K 217
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2254 0 obj
<<
/ActualText (K)
/K 218
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2255 0 obj
<<
/ActualText (ad)
/K 219
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2256 0 obj
<<
/ActualText (.)
/K 220
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2257 0 obj
<<
/ActualText ( )
/K 221
/P 124 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2258 0 obj
<<
/ActualText (F)
/K 241
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2259 0 obj
<<
/ActualText (or the purpose of the )
/K 242
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2260 0 obj
<<
/ActualText (CVAD)
/K 243
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2261 0 obj
<<
/ActualText (, the indirect nonideal)
/K 244
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2262 0 obj
<<
/ActualText (-)
/K 245
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2263 0 obj
<<
/ActualText (GI )
/K 246
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2264 0 obj
<<
/ActualText (diffe)
/K 247
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2265 0 obj
<<
/ActualText (rentiator has been briefly reviewed, and two direct )
/K 248
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2266 0 obj
<<
/ActualText (differentiators, i.e., the first)
/K 249
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2267 0 obj
<<
/ActualText (-)
/K 250
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2268 0 obj
<<
/ActualText (order backward)
/K 251
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2269 0 obj
<<
/ActualText (-)
/K 252
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2270 0 obj
<<
/ActualText (lead differentiator )
/K 253
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2271 0 obj
<<
/ActualText (and the second)
/K 254
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2272 0 obj
<<
/ActualText (-)
/K 255
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2273 0 obj
<<
/ActualText (order Tustin)
/K 256
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2274 0 obj
<<
/ActualText (-)
/K 257
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2275 0 obj
<<
/ActualText (DNF differentiator, have been )
/K 258
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2276 0 obj
<<
/ActualText (proposed in the previous sections. In this section, the )
/K 259
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2277 0 obj
<<
/ActualText (nonideal)
/K 260
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2278 0 obj
<<
/ActualText (-)
/K 261
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2279 0 obj
<<
/ActualText (GI differenti)
/K 262
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2280 0 obj
<<
/ActualText (ator and the proposed ones are compared )
/K 263
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2281 0 obj
<<
/ActualText (to help understand the connections and differences between )
/K 264
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2282 0 obj
<<
/ActualText (them.)
/K 265
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2283 0 obj
<<
/ActualText ( )
/K 266
/P 126 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2284 0 obj
<<
/ActualText (T)
/K 267
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2285 0 obj
<<
/ActualText (he aforementioned three differentiators, together with their )
/K 268
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2286 0 obj
<<
/ActualText (optimum parameters, are given as )
/K 269
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2287 0 obj
<<
/ActualText (G)
/K 270
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2288 0 obj
<<
/ActualText (nGI)
/K 271
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2289 0 obj
<<
/ActualText (-)
/K 272
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2290 0 obj
<<
/ActualText (FOH)
/K 273
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2291 0 obj
<<
/ActualText (\()
/K 274
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2292 0 obj
<<
/ActualText (z)
/K 275
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2293 0 obj
<<
/ActualText (\) with )
/K 276
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2294 0 obj
<<
/ActualText
/K 277
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2295 0 obj
<<
/ActualText (c)
/K 278
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2296 0 obj
<<
/ActualText ( )
/K 279
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2297 0 obj
<<
/ActualText (= 5)
/K 280
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2298 0 obj
<<
/ActualText
/K 281
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2299 0 obj
<<
/ActualText (10)
/K 282
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2300 0 obj
<<
/ActualText (3)
/K 283
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2301 0 obj
<<
/ActualText ( )
/K 284
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2302 0 obj
<<
/ActualText (rad/s, )
/K 285
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2303 0 obj
<<
/ActualText (G)
/K 286
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2304 0 obj
<<
/ActualText (back)
/K 287
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2305 0 obj
<<
/ActualText (-)
/K 288
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2306 0 obj
<<
/ActualText (lead)
/K 289
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2307 0 obj
<<
/ActualText (\()
/K 290
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2308 0 obj
<<
/ActualText (z)
/K 291
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2309 0 obj
<<
/ActualText (\) with )
/K 292
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2310 0 obj
<<
/ActualText (m)
/K 293
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2311 0 obj
<<
/ActualText ( )
/K 294
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2312 0 obj
<<
/ActualText (= 0.8, and )
/K 295
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2313 0 obj
<<
/ActualText (G)
/K 296
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2314 0 obj
<<
/ActualText (tustin)
/K 297
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2315 0 obj
<<
/ActualText (-)
/K 298
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2316 0 obj
<<
/ActualText (DNF)
/K 299
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2317 0 obj
<<
/ActualText (\()
/K 300
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2318 0 obj
<<
/ActualText (z)
/K 301
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2319 0 obj
<<
/ActualText (\) with )
/K 302
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2320 0 obj
<<
/ActualText (k)
/K 303
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2321 0 obj
<<
/ActualText ( )
/K 304
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2322 0 obj
<<
/ActualText (= 0.5, )
/K 305
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2323 0 obj
<<
/ActualText (whose frequency responses are redrawn in Fig. 9 for a clear )
/K 306
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2324 0 obj
<<
/ActualText (comparison. )
/K 307
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2325 0 obj
<<
/ActualText (I)
/K 308
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2326 0 obj
<<
/ActualText (t is shown that the three differentiators exhibit )
/K 309
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2327 0 obj
<<
/ActualText (almost the same derivative characteristics.)
/K 310
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2328 0 obj
<<
/ActualText ( )
/K 311
/P 127 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2329 0 obj
<<
/ActualText (T)
/K 312
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2330 0 obj
<<
/ActualText (his simil)
/K 313
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2331 0 obj
<<
/ActualText (arity can be better demonstrated with the root )
/K 314
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2332 0 obj
<<
/ActualText (locus method. )
/K 315
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2333 0 obj
<<
/ActualText (R)
/K 316
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2334 0 obj
<<
/ActualText (ecalling )
/K 317
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2335 0 obj
<<
/ActualText (T)
/K 318
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2336 0 obj
<<
/ActualText (ic)
/K 319
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2337 0 obj
<<
/ActualText (\()
/K 320
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2338 0 obj
<<
/ActualText (z)
/K 321
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2339 0 obj
<<
/ActualText (\) and )
/K 322
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2340 0 obj
<<
/ActualText (T)
/K 323
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2341 0 obj
<<
/ActualText (vc)
/K 324
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2342 0 obj
<<
/ActualText (\()
/K 325
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2343 0 obj
<<
/ActualText (z)
/K 326
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2344 0 obj
<<
/ActualText (\) in \(6\), and )
/K 327
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2345 0 obj
<<
/ActualText (simplifying the PI regulator )
/K 328
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2346 0 obj
<<
/ActualText (G)
/K 329
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2347 0 obj
<<
/ActualText (i)
/K 330
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2348 0 obj
<<
/ActualText (\()
/K 331
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2349 0 obj
<<
/ActualText (z)
/K 332
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2350 0 obj
<<
/ActualText (\) to a proportional gain )
/K 333
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2351 0 obj
<<
/ActualText (K)
/K 334
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2352 0 obj
<<
/ActualText (p)
/K 335
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2353 0 obj
<<
/ActualText (, )
/K 336
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2354 0 obj
<<
/ActualText (root loci of the closed)
/K 337
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2355 0 obj
<<
/ActualText (-)
/K 338
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2356 0 obj
<<
/ActualText (loop systems )
/K 339
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2357 0 obj
<<
/ActualText (are plotted by varying the )
/K 340
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2358 0 obj
<<
/ActualText (damping gain )
/K 341
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2359 0 obj
<<
/ActualText (K)
/K 342
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2360 0 obj
<<
/ActualText (ad)
/K 343
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2361 0 obj
<<
/ActualText (, as shown in)
/K 344
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2362 0 obj
<<
/ActualText ( )
/K 345
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2363 0 obj
<<
/ActualText (Fig. 10. )
/K 346
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2364 0 obj
<<
/ActualText (F)
/K 347
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2365 0 obj
<<
/ActualText (or the )
/K 348
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2366 0 obj
<<
/ActualText (CVAD)
/K 349
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2367 0 obj
<<
/ActualText (, the )
/K 350
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2368 0 obj
<<
/ActualText (backward Euler, nonideal)
/K 351
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2369 0 obj
<<
/ActualText (-)
/K 352
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2370 0 obj
<<
/ActualText (GI, backward)
/K 353
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2371 0 obj
<<
/ActualText (-)
/K 354
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2372 0 obj
<<
/ActualText (lead, and Tustin)
/K 355
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2373 0 obj
<<
/ActualText (-)
/K 356
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2374 0 obj
<<
/ActualText (DNF )
/K 357
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2375 0 obj
<<
/ActualText (differentiators are all )
/K 358
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2376 0 obj
<<
/ActualText (evaluated)
/K 359
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2377 0 obj
<<
/ActualText ( )
/K 360
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2378 0 obj
<<
/ActualText (by replacing )
/K 361
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2379 0 obj
<<
/ActualText (G)
/K 362
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2380 0 obj
<<
/ActualText (d)
/K 363
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2381 0 obj
<<
/ActualText (\()
/K 364
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2382 0 obj
<<
/ActualText (z)
/K 365
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2383 0 obj
<<
/ActualText (\) in )
/K 366
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2384 0 obj
<<
/ActualText (T)
/K 367
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2385 0 obj
<<
/ActualText (vc)
/K 368
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2386 0 obj
<<
/ActualText (\()
/K 369
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2387 0 obj
<<
/ActualText (z)
/K 370
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2388 0 obj
<<
/ActualText (\) )
/K 371
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2389 0 obj
<<
/ActualText (with )
/K 372
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2390 0 obj
<<
/ActualText (G)
/K 373
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2391 0 obj
<<
/ActualText (back)
/K 374
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2392 0 obj
<<
/ActualText (\()
/K 375
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2393 0 obj
<<
/ActualText (z)
/K 376
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2394 0 obj
<<
/ActualText (\), )
/K 377
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2395 0 obj
<<
/ActualText (G)
/K 378
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2396 0 obj
<<
/ActualText (nGI)
/K 379
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2397 0 obj
<<
/ActualText (-)
/K 380
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2398 0 obj
<<
/ActualText (FOH)
/K 381
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2399 0 obj
<<
/ActualText (\()
/K 382
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2400 0 obj
<<
/ActualText (z)
/K 383
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2401 0 obj
<<
/ActualText (\), )
/K 384
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2402 0 obj
<<
/ActualText (G)
/K 385
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2403 0 obj
<<
/ActualText (back)
/K 386
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2404 0 obj
<<
/ActualText (-)
/K 387
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2405 0 obj
<<
/ActualText (lead)
/K 388
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2406 0 obj
<<
/ActualText (\()
/K 389
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2407 0 obj
<<
/ActualText (z)
/K 390
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2408 0 obj
<<
/ActualText (\), and )
/K 391
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2409 0 obj
<<
/ActualText (G)
/K 392
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2410 0 obj
<<
/ActualText (tustin)
/K 393
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2411 0 obj
<<
/ActualText (-)
/K 394
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2412 0 obj
<<
/ActualText (DNF)
/K 395
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2413 0 obj
<<
/ActualText (\()
/K 396
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2414 0 obj
<<
/ActualText (z)
/K 397
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2415 0 obj
<<
/ActualText (\), )
/K 398
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2416 0 obj
<<
/ActualText (respectively. )
/K 399
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2417 0 obj
<<
/ActualText (T)
/K 400
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2418 0 obj
<<
/ActualText (he pole movement is obtained)
/K 401
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2419 0 obj
<<
/ActualText ( )
/K 402
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2420 0 obj
<<
/ActualText (with the )
/K 403
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2421 0 obj
<<
/ActualText (LCL)
/K 404
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2422 0 obj
<<
/ActualText ( )
/K 405
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2423 0 obj
<<
/ActualText (filter parameters listed in )
/K 406
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2424 0 obj
<<
/ActualText (T)
/K 407
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2425 0 obj
<<
/ActualText (able )
/K 408
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2426 0 obj
<<
/ActualText (I)
/K 409
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2427 0 obj
<<
/ActualText (, where )
/K 410
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2428 0 obj
<<
/ActualText (f)
/K 411
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2429 0 obj
<<
/ActualText (r)
/K 412
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2430 0 obj
<<
/ActualText ( )
/K 413
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2431 0 obj
<<
/ActualText (= 2.27 kHz is )
/K 414
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2432 0 obj
<<
/ActualText (higher than )
/K 415
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2433 0 obj
<<
/ActualText (f)
/K 416
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2434 0 obj
<<
/ActualText (s)
/K 417
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2435 0 obj
<<
/ActualText ( )
/K 418
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2436 0 obj
<<
/ActualText (/6 \(1.67 kHz\). )
/K 419
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2437 0 obj
<<
/ActualText (A)
/K 420
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2438 0 obj
<<
/ActualText (s shown in the shaded areas, the )
/K 421
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2439 0 obj
<<
/ActualText (trajectories of the resonant poles start exactly inside the unit )
/K 422
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2440 0 obj
<<
/ActualText (circle, which confirms a stable operation without dam)
/K 423
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2441 0 obj
<<
/ActualText (ping \(i.e., )
/K 424
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2442 0 obj
<<
/ActualText (K)
/K 425
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2443 0 obj
<<
/ActualText (ad)
/K 426
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2444 0 obj
<<
/ActualText ( )
/K 427
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2445 0 obj
<<
/ActualText (= 0\) due to )
/K 428
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2446 0 obj
<<
/ActualText (f)
/K 429
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2447 0 obj
<<
/ActualText (r)
/K 430
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2448 0 obj
<<
/ActualText ( )
/K 431
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2449 0 obj
<<
/ActualText (> )
/K 432
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2450 0 obj
<<
/ActualText (f)
/K 433
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2451 0 obj
<<
/ActualText (s)
/K 434
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2452 0 obj
<<
/ActualText ( )
/K 435
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2453 0 obj
<<
/ActualText (/6. )
/K 436
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2454 0 obj
<<
/ActualText (W)
/K 437
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2455 0 obj
<<
/ActualText (ith the increase of )
/K 438
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2456 0 obj
<<
/ActualText (K)
/K 439
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2457 0 obj
<<
/ActualText (ad)
/K 440
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2458 0 obj
<<
/ActualText (, the resonant )
/K 441
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2459 0 obj
<<
/ActualText (poles first stay inside the unit circle and then track outside. )
/K 442
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2460 0 obj
<<
/ActualText (T)
/K 443
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2461 0 obj
<<
/ActualText (he effective damping regions, within which the resonant )
/K 444
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2462 0 obj
<<
/ActualText (poles locate inside the unit circle, are almost identica)
/K 445
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2463 0 obj
<<
/ActualText (l in the )
/K 446
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2464 0 obj
<<
/ActualText (cases of the )
/K 447
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2465 0 obj
<<
/ActualText (CCAD)
/K 448
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2466 0 obj
<<
/ActualText ( )
/K 449
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2467 0 obj
<<
/ActualText (and the )
/K 450
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2468 0 obj
<<
/ActualText (CVAD)
/K 451
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2469 0 obj
<<
/ActualText ( )
/K 452
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2470 0 obj
<<
/ActualText (with )
/K 453
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2471 0 obj
<<
/ActualText (G)
/K 454
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2472 0 obj
<<
/ActualText (nGI)
/K 455
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2473 0 obj
<<
/ActualText (-)
/K 456
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2474 0 obj
<<
/ActualText (FOH)
/K 457
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2475 0 obj
<<
/ActualText (\()
/K 458
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2476 0 obj
<<
/ActualText (z)
/K 459
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2477 0 obj
<<
/ActualText (\), )
/K 460
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2478 0 obj
<<
/ActualText (G)
/K 461
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2479 0 obj
<<
/ActualText (back)
/K 462
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2480 0 obj
<<
/ActualText (-)
/K 463
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2481 0 obj
<<
/ActualText (lead)
/K 464
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2482 0 obj
<<
/ActualText (\()
/K 465
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2483 0 obj
<<
/ActualText (z)
/K 466
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2484 0 obj
<<
/ActualText (\), or )
/K 467
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2485 0 obj
<<
/ActualText (G)
/K 468
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2486 0 obj
<<
/ActualText (tustin)
/K 469
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2487 0 obj
<<
/ActualText (-)
/K 470
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2488 0 obj
<<
/ActualText (DNF)
/K 471
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2489 0 obj
<<
/ActualText (\()
/K 472
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2490 0 obj
<<
/ActualText (z)
/K 473
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2491 0 obj
<<
/ActualText (\). )
/K 474
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2492 0 obj
<<
/ActualText (But)
/K 475
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2493 0 obj
<<
/ActualText ( )
/K 476
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2494 0 obj
<<
/ActualText (for the )
/K 477
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2495 0 obj
<<
/ActualText (CVAD)
/K 478
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2496 0 obj
<<
/ActualText ( )
/K 479
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2497 0 obj
<<
/ActualText (with )
/K 480
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2498 0 obj
<<
/ActualText (G)
/K 481
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2499 0 obj
<<
/ActualText (back)
/K 482
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2500 0 obj
<<
/ActualText (\()
/K 483
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2501 0 obj
<<
/ActualText (z)
/K 484
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2502 0 obj
<<
/ActualText (\), )
/K 485
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2503 0 obj
<<
/ActualText (the effective damping region is very narrow, and the resonant )
/K 486
/P 128 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2504 0 obj
<<
/K 487
/P 114 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2505 0 obj
<<
/ActualText (IEEE )
/K 488
/P 4612 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2506 0 obj
<<
/ActualText (TRANSACT)
/K 489
/P 4612 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2507 0 obj
<<
/ActualText (IONS ON POWER ELECTRONICS)
/K 490
/P 4612 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2508 0 obj
<<
/ActualText ( )
/K 491
/P 4612 0 R
/Pg 20 0 R
/S /Span
>>
endobj
2509 0 obj
<<
/ActualText (T)
/K 0
/P 129 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2510 0 obj
<<
/ActualText (ABLE )
/K 1
/P 129 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2511 0 obj
<<
/ActualText (I)
/K 2
/P 129 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2512 0 obj
<<
/ActualText ( )
/K 3
/P 129 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2513 0 obj
<<
/ActualText (C)
/K 4
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2514 0 obj
<<
/ActualText (OMPARISON OF )
/K 5
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2515 0 obj
<<
/ActualText (D)
/K 6
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2516 0 obj
<<
/ActualText (IFFERENT )
/K 7
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2517 0 obj
<<
/ActualText (D)
/K 8
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2518 0 obj
<<
/ActualText (IGITAL )
/K 9
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2519 0 obj
<<
/ActualText (D)
/K 10
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2520 0 obj
<<
/ActualText (IFFERENTIATORS)
/K 11
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2521 0 obj
<<
/ActualText ( )
/K 12
/P 131 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2522 0 obj
<<
/K 13
/P 4712 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2523 0 obj
<<
/K [14 15 16]
/P 4712 0 R
/Pg 21 0 R
/S /P
>>
endobj
2524 0 obj
<<
/K 17
/P 4713 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2525 0 obj
<<
/K [18 19 20 21 22 23]
/P 4713 0 R
/Pg 21 0 R
/S /P
>>
endobj
2526 0 obj
<<
/K 24
/P 4714 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2527 0 obj
<<
/K [25 26 27 28 29]
/P 4714 0 R
/Pg 21 0 R
/S /P
>>
endobj
2528 0 obj
<<
/K 30
/P 4715 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2529 0 obj
<<
/K [31 32 33 34 35 36 37]
/P 4715 0 R
/Pg 21 0 R
/S /P
>>
endobj
2530 0 obj
<<
/K 38
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>>
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/K 226
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2694 0 obj
<<
/ActualText ( )
/K 227
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2695 0 obj
<<
/ActualText (response is corrected in the )
/K 228
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2696 0 obj
<<
/ActualText (s)
/K 229
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2697 0 obj
<<
/ActualText (-)
/K 230
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2698 0 obj
<<
/ActualText (domain with the continuous )
/K 231
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2699 0 obj
<<
/ActualText (notch filter, which thus calls for a sophisticated)
/K 232
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2700 0 obj
<<
/ActualText ( )
/K 233
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2701 0 obj
<<
/ActualText (discretization )
/K 234
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2702 0 obj
<<
/ActualText (method \(i.e., FOH\) to retain its characteristics in the discrete )
/K 235
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2703 0 obj
<<
/ActualText (domain. )
/K 236
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2704 0 obj
<<
/ActualText (T)
/K 237
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2705 0 obj
<<
/ActualText (he proposed differentiators are, however, directly )
/K 238
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2706 0 obj
<<
/ActualText (developed in the )
/K 239
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2707 0 obj
<<
/ActualText (z)
/K 240
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2708 0 obj
<<
/ActualText (-)
/K 241
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2709 0 obj
<<
/ActualText (domain and corrected with digital filters. )
/K 242
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2710 0 obj
<<
/ActualText (T)
/K 243
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2711 0 obj
<<
/ActualText (he absence of discretization equips the proposed )
/K 244
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2712 0 obj
<<
/ActualText (dif)
/K 245
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2713 0 obj
<<
/ActualText (ferentiators with the )
/K 246
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2714 0 obj
<<
/ActualText (following)
/K 247
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2715 0 obj
<<
/ActualText ( )
/K 248
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2716 0 obj
<<
/ActualText (features.)
/K 249
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2717 0 obj
<<
/ActualText ( )
/K 250
/P 140 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2718 0 obj
<<
/K 251
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2719 0 obj
<<
/ActualText (Direct discrete nature. The development of the )
/K 252
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2720 0 obj
<<
/ActualText (nonideal)
/K 253
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2721 0 obj
<<
/ActualText (-)
/K 254
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2722 0 obj
<<
/ActualText (GI differentiator takes two steps: at the first to )
/K 255
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2723 0 obj
<<
/ActualText (tune the continuous nonideal GI and then to discretize it. )
/K 256
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2724 0 obj
<<
/ActualText (T)
/K 257
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2725 0 obj
<<
/ActualText (he latter, in particular, is not trivial and wo)
/K 258
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2726 0 obj
<<
/ActualText (uld take )
/K 259
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2727 0 obj
<<
/ActualText (much )
/K 260
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2728 0 obj
<<
/ActualText (effort)
/K 261
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2729 0 obj
<<
/ActualText (. )
/K 262
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2730 0 obj
<<
/ActualText (A)
/K 263
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2731 0 obj
<<
/ActualText (s shown in [22] and [23], )
/K 264
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2732 0 obj
<<
/ActualText (various)
/K 265
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2733 0 obj
<<
/ActualText ( )
/K 266
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2734 0 obj
<<
/ActualText (discretization methods have to be examined before )
/K 267
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2735 0 obj
<<
/ActualText (finding the best one. )
/K 268
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2736 0 obj
<<
/ActualText (C)
/K 269
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2737 0 obj
<<
/ActualText (omparatively, )
/K 270
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2738 0 obj
<<
/ActualText (the)
/K 271
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2739 0 obj
<<
/ActualText ( )
/K 272
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2740 0 obj
<<
/ActualText (nature)
/K 273
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2741 0 obj
<<
/ActualText (s)
/K 274
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2742 0 obj
<<
/ActualText ( )
/K 275
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2743 0 obj
<<
/ActualText (of the )
/K 276
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2744 0 obj
<<
/ActualText (proposed differentiators as direct discrete development )
/K 277
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2745 0 obj
<<
/ActualText (make their usages very straightforwar)
/K 278
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2746 0 obj
<<
/ActualText (d.)
/K 279
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2747 0 obj
<<
/ActualText ( )
/K 280
/P 4756 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2748 0 obj
<<
/K 281
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2749 0 obj
<<
/ActualText (Compact expression. )
/K 282
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2750 0 obj
<<
/ActualText (R)
/K 283
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2751 0 obj
<<
/ActualText (ecalling \(9\), \(13\), and \(16\), it can )
/K 284
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2752 0 obj
<<
/ActualText (be seen that the backward)
/K 285
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2753 0 obj
<<
/ActualText (-)
/K 286
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2754 0 obj
<<
/ActualText (lead differentiator yields a )
/K 287
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2755 0 obj
<<
/ActualText (simplest expression due to its first)
/K 288
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2756 0 obj
<<
/ActualText (-)
/K 289
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2757 0 obj
<<
/ActualText (order manner. )
/K 290
/P 4757 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2758 0 obj
<<
/ActualText (H)
/K 291
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2759 0 obj
<<
/ActualText (owever, even with the same second)
/K 292
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2760 0 obj
<<
/ActualText (-)
/K 293
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2761 0 obj
<<
/ActualText (order property, the )
/K 294
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2762 0 obj
<<
/ActualText (expression of the Tustin)
/K 295
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2763 0 obj
<<
/ActualText (-)
/K 296
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2764 0 obj
<<
/ActualText ( )
/K 297
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2765 0 obj
<<
/ActualText (DNF diff)
/K 298
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2766 0 obj
<<
/ActualText (erentiator is much )
/K 299
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2767 0 obj
<<
/ActualText (more compact than that of the nonideal)
/K 300
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2768 0 obj
<<
/ActualText (-)
/K 301
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2769 0 obj
<<
/ActualText (GI)
/K 302
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2770 0 obj
<<
/ActualText (-)
/K 303
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2771 0 obj
<<
/ActualText (based one. )
/K 304
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2772 0 obj
<<
/ActualText (T)
/K 305
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2773 0 obj
<<
/ActualText (he compact expression will facilitate the )
/K 306
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2774 0 obj
<<
/ActualText (implementations of the proposed differentiators in a )
/K 307
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2775 0 obj
<<
/ActualText (digital signal processor \(DSP\).)
/K 308
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2776 0 obj
<<
/ActualText ( )
/K 309
/P 4758 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2777 0 obj
<<
/K 310
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2778 0 obj
<<
/ActualText (Easy )
/K 311
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2779 0 obj
<<
/ActualText (algebraic manipulation)
/K 312
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2780 0 obj
<<
/ActualText (. )
/K 313
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2781 0 obj
<<
/ActualText (A)
/K 314
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2782 0 obj
<<
/ActualText (s shown in \(13\) )
/K 315
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2783 0 obj
<<
/ActualText (and)
/K 316
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2784 0 obj
<<
/ActualText ( )
/K 317
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2785 0 obj
<<
/ActualText (\(16\), )
/K 318
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2786 0 obj
<<
/ActualText (there are negligible )
/K 319
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2787 0 obj
<<
/ActualText (algebraic manipulation)
/K 320
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2788 0 obj
<<
/ActualText (s in the )
/K 321
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2789 0 obj
<<
/ActualText (proposed differentiators. )
/K 322
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2790 0 obj
<<
/ActualText (W)
/K 323
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2791 0 obj
<<
/ActualText (hile in the nonideal)
/K 324
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2792 0 obj
<<
/ActualText (-)
/K 325
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2793 0 obj
<<
/ActualText (GI )
/K 326
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2794 0 obj
<<
/ActualText (differentiator, substantial computation efforts have to be )
/K 327
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2795 0 obj
<<
/ActualText (devoted to the discretized nonideal GI, due to its )
/K 328
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2796 0 obj
<<
/ActualText (complicated symbolic expression, as shown i)
/K 329
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2797 0 obj
<<
/ActualText (n \(9\). )
/K 330
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2798 0 obj
<<
/ActualText (F)
/K 331
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2799 0 obj
<<
/ActualText (or )
/K 332
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2800 0 obj
<<
/ActualText (simplicity, the computation can be done by using the )
/K 333
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2801 0 obj
<<
/ActualText (MATLAB command )
/K 334
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2802 0 obj
<<
/ActualText
/K 335
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2803 0 obj
<<
/ActualText (c2d)
/K 336
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2804 0 obj
<<
/ActualText
/K 337
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2805 0 obj
<<
/ActualText ( )
/K 338
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2806 0 obj
<<
/ActualText (for a specific )
/K 339
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2807 0 obj
<<
/ActualText
/K 340
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2808 0 obj
<<
/ActualText (c)
/K 341
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2809 0 obj
<<
/ActualText (.)
/K 342
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2810 0 obj
<<
/ActualText ( )
/K 343
/P 4759 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2811 0 obj
<<
/ActualText (B)
/K 344
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2812 0 obj
<<
/ActualText (ased )
/K 345
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2813 0 obj
<<
/ActualText (on the previous analysis, a brief summary of the )
/K 346
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2814 0 obj
<<
/ActualText (digital differentiators mentioned earlier is given in Table )
/K 347
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2815 0 obj
<<
/ActualText (I)
/K 348
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2816 0 obj
<<
/ActualText (. )
/K 349
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2817 0 obj
<<
/ActualText (It )
/K 350
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2818 0 obj
<<
/ActualText (is )
/K 351
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2819 0 obj
<<
/ActualText (shown)
/K 352
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2820 0 obj
<<
/ActualText ( )
/K 353
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2821 0 obj
<<
/ActualText (that )
/K 354
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2822 0 obj
<<
/ActualText (accurate digital )
/K 355
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2823 0 obj
<<
/ActualText (differentiator)
/K 356
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2824 0 obj
<<
/ActualText (s)
/K 357
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2825 0 obj
<<
/ActualText ( )
/K 358
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2826 0 obj
<<
/ActualText (can be )
/K 359
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2827 0 obj
<<
/ActualText (made)
/K 360
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2828 0 obj
<<
/ActualText ( )
/K 361
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2829 0 obj
<<
/ActualText (not )
/K 362
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2830 0 obj
<<
/ActualText (only by the indirect discretizing method with a )
/K 363
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2831 0 obj
<<
/ActualText (nonideal GI, )
/K 364
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2832 0 obj
<<
/ActualText (but als)
/K 365
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2833 0 obj
<<
/ActualText (o by the )
/K 366
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2834 0 obj
<<
/ActualText (direct discretizing method with either )
/K 367
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2835 0 obj
<<
/ActualText (backward)
/K 368
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2836 0 obj
<<
/ActualText (-)
/K 369
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2837 0 obj
<<
/ActualText (lead or )
/K 370
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2838 0 obj
<<
/ActualText (Tustin)
/K 371
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2839 0 obj
<<
/ActualText (-)
/K 372
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2840 0 obj
<<
/ActualText (DNF. )
/K 373
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2841 0 obj
<<
/ActualText (These )
/K 374
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2842 0 obj
<<
/ActualText (differentiator)
/K 375
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2843 0 obj
<<
/ActualText (s are )
/K 376
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2844 0 obj
<<
/ActualText (therefore competitive in practice. Particularly, the proposed )
/K 377
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2845 0 obj
<<
/ActualText (ones are )
/K 378
/P 142 0 R
/Pg 21 0 R
/S /Span
>>
endobj
2846 0 obj
<<
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>>
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<<
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/K 385
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>>
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<<
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/K 386
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>>
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2854 0 obj
<<
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/K 387
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>>
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<<
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>>
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2856 0 obj
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<<
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<<
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/K 391
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>>
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>>
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<<
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<<
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>>
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<<
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/K 415
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<<
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/K 424
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<<
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/K 431
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/K 432
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>>
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<<
/K 441
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<<
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<<
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>>
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>>
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<<
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/K 446
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<<
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<<
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<<
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<<
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/K 450
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<<
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>>
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<<
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/K 453
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/K 454
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>>
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<<
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/K 455
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>>
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<<
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/K 456
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<<
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>>
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<<
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/K 458
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>>
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<<
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/K 459
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>>
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<<
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/K 460
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>>
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<<
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/K 461
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>>
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<<
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/K 462
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>>
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>>
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<<
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/K 464
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<<
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>>
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>>
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<<
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>>
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>>
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2936 0 obj
<<
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/K 469
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<<
/K 470
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>>
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<<
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/K 471
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<<
/ActualText (TRANSACTIONS ON POWER ELECTRONICS)
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>>
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<<
/Alt ()
/K 0
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>>
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<<
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>>
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<<
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/K 2
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>>
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<<
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/K 3
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>>
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<<
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/K 4
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/K 5
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<<
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/K 6
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>>
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<<
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/K 7
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>>
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/K 8
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>>
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<<
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/K 9
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/K 10
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<<
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/K 12
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<<
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/K 13
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>>
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<<
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/K 14
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<<
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/K 15
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<<
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<<
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/K 25
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/S /Span
>>
endobj
3002 0 obj
<<
/ActualText ( )
/K 69
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3003 0 obj
<<
/ActualText (the )
/K 70
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3004 0 obj
<<
/ActualText (PLL)
/K 71
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3005 0 obj
<<
/ActualText ( )
/K 72
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3006 0 obj
<<
/ActualText (and active damping)
/K 73
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3007 0 obj
<<
/ActualText (, is)
/K 74
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3008 0 obj
<<
/ActualText ( )
/K 75
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3009 0 obj
<<
/ActualText (sensed)
/K 76
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3010 0 obj
<<
/ActualText ( )
/K 77
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3011 0 obj
<<
/ActualText (by a )
/K 78
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3012 0 obj
<<
/ActualText (voltage)
/K 79
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3013 0 obj
<<
/ActualText ( )
/K 80
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3014 0 obj
<<
/ActualText (hall )
/K 81
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3015 0 obj
<<
/ActualText (\(LV2)
/K 82
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3016 0 obj
<<
/ActualText (5)
/K 83
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3017 0 obj
<<
/ActualText (-)
/K 84
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3018 0 obj
<<
/ActualText (P\))
/K 85
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3019 0 obj
<<
/ActualText (. )
/K 86
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3020 0 obj
<<
/ActualText (T)
/K 87
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3021 0 obj
<<
/ActualText (he grid current )
/K 88
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3022 0 obj
<<
/ActualText (i)
/K 89
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3023 0 obj
<<
/ActualText (2)
/K 90
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3024 0 obj
<<
/ActualText ( )
/K 91
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3025 0 obj
<<
/ActualText (is)
/K 92
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3026 0 obj
<<
/ActualText ( )
/K 93
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3027 0 obj
<<
/ActualText (sensed by a current hall \(L)
/K 94
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3028 0 obj
<<
/ActualText (A55)
/K 95
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3029 0 obj
<<
/ActualText (-)
/K 96
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3030 0 obj
<<
/ActualText (P\). The )
/K 97
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3031 0 obj
<<
/ActualText (measured signals are sent to an extended 14)
/K 98
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3032 0 obj
<<
/ActualText (-)
/K 99
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3033 0 obj
<<
/ActualText (bit A/D converter )
/K 100
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3034 0 obj
<<
/ActualText (\(MAXIM)
/K 101
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3035 0 obj
<<
/ActualText (-)
/K 102
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3036 0 obj
<<
/ActualText (1324ECM\), whose outputs are transmitte)
/K 103
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3037 0 obj
<<
/ActualText (d to )
/K 104
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3038 0 obj
<<
/ActualText (a TI )
/K 105
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3039 0 obj
<<
/ActualText (TMS320F2812 DSP)
/K 106
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3040 0 obj
<<
/ActualText ( )
/K 107
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3041 0 obj
<<
/ActualText (for the controller process.)
/K 108
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3042 0 obj
<<
/ActualText ( )
/K 109
/P 149 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3043 0 obj
<<
/ActualText (In order to remove the switching noise from the measured )
/K 110
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3044 0 obj
<<
/ActualText (signals, a RC low)
/K 111
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3045 0 obj
<<
/ActualText (-)
/K 112
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3046 0 obj
<<
/ActualText (pass filter with the time constant of )
/K 113
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3047 0 obj
<<
/ActualText (1 )
/K 114
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3048 0 obj
<<
/ActualText
/K 115
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3049 0 obj
<<
/ActualText (s is )
/K 116
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3050 0 obj
<<
/ActualText (installed between the sensors and the A/D converter. Such a )
/K 117
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3051 0 obj
<<
/ActualText (filter will also be n)
/K 118
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3052 0 obj
<<
/ActualText (eeded when the )
/K 119
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3053 0 obj
<<
/ActualText (capacitor current )
/K 120
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3054 0 obj
<<
/ActualText (i)
/K 121
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3055 0 obj
<<
/ActualText (C)
/K 122
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3056 0 obj
<<
/ActualText ( )
/K 123
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3057 0 obj
<<
/ActualText (is )
/K 124
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3058 0 obj
<<
/ActualText (directly sensed for active damping)
/K 125
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3059 0 obj
<<
/ActualText (. )
/K 126
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3060 0 obj
<<
/ActualText (Since its cutoff frequency )
/K 127
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3061 0 obj
<<
/ActualText (is much higher than the sampling frequency, this low)
/K 128
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3062 0 obj
<<
/ActualText (-)
/K 129
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3063 0 obj
<<
/ActualText (pass )
/K 130
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3064 0 obj
<<
/ActualText (filter rarely affects the system dynamic performance. )
/K 131
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3065 0 obj
<<
/ActualText (Accordingly, it can be omitted from the sy)
/K 132
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3066 0 obj
<<
/ActualText (stem model with )
/K 133
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3067 0 obj
<<
/ActualText (either CCAD or CVAD.)
/K 134
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3068 0 obj
<<
/ActualText ( )
/K 135
/P 150 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3069 0 obj
<<
/ActualText (T)
/K 136
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3070 0 obj
<<
/ActualText (able)
/K 137
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3071 0 obj
<<
/ActualText ( )
/K 138
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3072 0 obj
<<
/ActualText (II)
/K 139
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3073 0 obj
<<
/ActualText ( )
/K 140
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3074 0 obj
<<
/ActualText (gives the )
/K 141
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3075 0 obj
<<
/ActualText (parameters of the prototype, )
/K 142
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3076 0 obj
<<
/ActualText (where the )
/K 143
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3077 0 obj
<<
/ActualText (symmetrical regular sampled SVM)
/K 144
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3078 0 obj
<<
/ActualText ( )
/K 145
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3079 0 obj
<<
/ActualText (is implemented.)
/K 146
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3080 0 obj
<<
/ActualText ( )
/K 147
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3081 0 obj
<<
/ActualText (The )
/K 148
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3082 0 obj
<<
/ActualText (LCL)
/K 149
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3083 0 obj
<<
/ActualText ( )
/K 150
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3084 0 obj
<<
/ActualText (filter is designed with the well)
/K 151
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3085 0 obj
<<
/ActualText (-)
/K 152
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3086 0 obj
<<
/ActualText (known constraints listed in [38] )
/K 153
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3087 0 obj
<<
/ActualText (and [39], and its)
/K 154
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3088 0 obj
<<
/ActualText ( )
/K 155
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3089 0 obj
<<
/ActualText (resonance frequency )
/K 156
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3090 0 obj
<<
/ActualText (f)
/K 157
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3091 0 obj
<<
/ActualText (r)
/K 158
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3092 0 obj
<<
/ActualText ( )
/K 159
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3093 0 obj
<<
/ActualText (= 2.27 kHz is kept the )
/K 160
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3094 0 obj
<<
/ActualText (same as that in [22] and [23] to provide a comparable basis. )
/K 161
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3095 0 obj
<<
/ActualText (F)
/K 162
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3096 0 obj
<<
/ActualText (or the purpose of active damping, the CCAD and the CVAD )
/K 163
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3097 0 obj
<<
/ActualText (with backward Euler, nonideal)
/K 164
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3098 0 obj
<<
/ActualText (-)
/K 165
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3099 0 obj
<<
/ActualText (GI, backward)
/K 166
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3100 0 obj
<<
/ActualText (-)
/K 167
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3101 0 obj
<<
/ActualText (lead, and )
/K 168
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3102 0 obj
<<
/ActualText (Tustin)
/K 169
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3103 0 obj
<<
/ActualText (-)
/K 170
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3104 0 obj
<<
/ActualText (DNF differentiators are all tested. )
/K 171
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3105 0 obj
<<
/ActualText (The PI )
/K 172
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3106 0 obj
<<
/ActualText (parameters)
/K 173
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3107 0 obj
<<
/ActualText ( )
/K 174
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3108 0 obj
<<
/ActualText (are designed with the method in [29], and they are given as )
/K 175
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3109 0 obj
<<
/ActualText (K)
/K 176
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3110 0 obj
<<
/ActualText (p)
/K 177
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3111 0 obj
<<
/ActualText ( )
/K 178
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3112 0 obj
<<
/ActualText (= 0.12 and )
/K 179
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3113 0 obj
<<
/ActualText (K)
/K 180
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3114 0 obj
<<
/ActualText (i)
/K 181
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3115 0 obj
<<
/ActualText ( )
/K 182
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3116 0 obj
<<
/ActualText (= 60.)
/K 183
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3117 0 obj
<<
/ActualText ( )
/K 184
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3118 0 obj
<<
/ActualText (The optimal damping gain, which yields )
/K 185
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3119 0 obj
<<
/ActualText (high robustness against the grid impedance variation, has been )
/K 186
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3120 0 obj
<<
/ActualText (derived in [16], and it is calculated as )
/K 187
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3121 0 obj
<<
/ActualText (K)
/K 188
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3122 0 obj
<<
/ActualText (ad)
/K 189
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3123 0 obj
<<
/ActualText ( )
/K 190
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3124 0 obj
<<
/ActualText (= 0.06 in)
/K 191
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3125 0 obj
<<
/ActualText ( )
/K 192
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3126 0 obj
<<
/ActualText (the test )
/K 193
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3127 0 obj
<<
/ActualText (system)
/K 194
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3128 0 obj
<<
/ActualText (.)
/K 195
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3129 0 obj
<<
/ActualText ( )
/K 196
/P 151 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3130 0 obj
<<
/ActualText (To)
/K 197
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3131 0 obj
<<
/ActualText ( )
/K 198
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3132 0 obj
<<
/ActualText (obtain an intuitive sense, the directly sampled capacitor )
/K 199
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3133 0 obj
<<
/ActualText (current and the calculated results by the four differentiators )
/K 200
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3134 0 obj
<<
/ActualText (under test are compared, as shown in )
/K 201
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3135 0 obj
<<
/ActualText (F)
/K 202
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3136 0 obj
<<
/ActualText (ig.)
/K 203
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3137 0 obj
<<
/ActualText ( )
/K 204
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3138 0 obj
<<
/ActualText (1)
/K 205
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3139 0 obj
<<
/ActualText (2. )
/K 206
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3140 0 obj
<<
/ActualText (F)
/K 207
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3141 0 obj
<<
/ActualText (or better clarity, )
/K 208
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3142 0 obj
<<
/ActualText (the switching ripple of the capacitor current is removed, since )
/K 209
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3143 0 obj
<<
/ActualText ( )
/K 210
/P 152 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3144 0 obj
<<
/ActualText (T)
/K 211
/P 153 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3145 0 obj
<<
/ActualText (ABLE )
/K 212
/P 153 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3146 0 obj
<<
/ActualText (II)
/K 213
/P 153 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3147 0 obj
<<
/ActualText ( )
/K 214
/P 153 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3148 0 obj
<<
/ActualText (P)
/K 215
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3149 0 obj
<<
/ActualText (ARAMETERS )
/K 216
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3150 0 obj
<<
/ActualText (OF )
/K 217
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3151 0 obj
<<
/ActualText (THE)
/K 218
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3152 0 obj
<<
/ActualText ( )
/K 219
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3153 0 obj
<<
/ActualText (P)
/K 220
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3154 0 obj
<<
/ActualText (ROTOTYPE)
/K 221
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3155 0 obj
<<
/ActualText ( )
/K 222
/P 154 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3156 0 obj
<<
/K 223
/P 4763 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3157 0 obj
<<
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<<
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/K 290
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<<
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/K 292
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<<
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/K 293
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>>
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/K 297
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<<
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<<
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<<
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/K 309
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>>
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<<
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/K 310
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>>
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<<
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>>
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<<
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/K 312
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>>
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<<
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/K 313
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>>
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<<
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>>
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<<
/ActualText (in \(6\), F)
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>>
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3237 0 obj
<<
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/K 316
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>>
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3238 0 obj
<<
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>>
endobj
3239 0 obj
<<
/ActualText (13 shows the )
/K 318
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>>
endobj
3240 0 obj
<<
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/K 319
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>>
endobj
3241 0 obj
<<
/ActualText (-)
/K 320
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>>
endobj
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<<
/ActualText (loop pole maps )
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>>
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<<
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/K 322
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>>
endobj
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<<
/ActualText (L)
/K 323
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>>
endobj
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<<
/ActualText (g)
/K 324
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>>
endobj
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<<
/ActualText ( )
/K 325
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>>
endobj
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<<
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/K 326
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>>
endobj
3248 0 obj
<<
/ActualText (10% per unit, )
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>>
endobj
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<<
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/K 328
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>>
endobj
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<<
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/K 329
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>>
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<<
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/K 330
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>>
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<<
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>>
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<<
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>>
endobj
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<<
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>>
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<<
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/K 334
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>>
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<<
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>>
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<<
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>>
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>>
endobj
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<<
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>>
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<<
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>>
endobj
3261 0 obj
<<
/ActualText (, )
/K 340
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>>
endobj
3262 0 obj
<<
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/K 341
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>>
endobj
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<<
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/K 342
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>>
endobj
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/K 343
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>>
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>>
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<<
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/K 347
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>>
endobj
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<<
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>>
endobj
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<<
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<<
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/K 350
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>>
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>>
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<<
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/K 352
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>>
endobj
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<<
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/K 353
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>>
endobj
3275 0 obj
<<
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/K 354
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>>
endobj
3276 0 obj
<<
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/K 355
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>>
endobj
3277 0 obj
<<
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/K 356
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>>
endobj
3278 0 obj
<<
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/K 357
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>>
endobj
3279 0 obj
<<
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>>
endobj
3280 0 obj
<<
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/K 359
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>>
endobj
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/K 360
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>>
endobj
3282 0 obj
<<
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>>
endobj
3283 0 obj
<<
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>>
endobj
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<<
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>>
endobj
3285 0 obj
<<
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>>
endobj
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<<
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>>
endobj
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<<
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>>
endobj
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<<
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>>
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<<
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/K 368
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>>
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3290 0 obj
<<
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>>
endobj
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<<
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>>
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<<
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/K 371
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>>
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<<
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/K 372
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>>
endobj
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<<
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/K 373
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>>
endobj
3295 0 obj
<<
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/K 374
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>>
endobj
3296 0 obj
<<
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/K 375
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>>
endobj
3297 0 obj
<<
/ActualText (-)
/K 376
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>>
endobj
3298 0 obj
<<
/ActualText (DNF )
/K 377
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>>
endobj
3299 0 obj
<<
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/K 378
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>>
endobj
3300 0 obj
<<
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>>
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3301 0 obj
<<
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/K 380
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>>
endobj
3302 0 obj
<<
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/K 381
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>>
endobj
3303 0 obj
<<
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/K 382
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>>
endobj
3304 0 obj
<<
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/K 383
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>>
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<<
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/K 384
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>>
endobj
3306 0 obj
<<
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>>
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<<
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>>
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<<
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/K 387
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>>
endobj
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<<
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/K 388
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>>
endobj
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<<
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<<
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>>
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<<
/ActualText (the prototype developed above, experimental )
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>>
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3313 0 obj
<<
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/K 392
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>>
endobj
3314 0 obj
<<
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>>
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<<
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3316 0 obj
<<
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>>
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3317 0 obj
<<
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/K 396
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>>
endobj
3318 0 obj
<<
/ActualText (results acquired by changing between different active damping )
/K 397
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>>
endobj
3319 0 obj
<<
/ActualText (solutions at full load. )
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>>
endobj
3320 0 obj
<<
/ActualText (A)
/K 399
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3321 0 obj
<<
/ActualText (s seen, a stable operation is retained in )
/K 400
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3322 0 obj
<<
/ActualText (any of the CCAD and the )
/K 401
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3323 0 obj
<<
/ActualText (CVAD with nonideal)
/K 402
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3324 0 obj
<<
/ActualText (-)
/K 403
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3325 0 obj
<<
/ActualText (GI, )
/K 404
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3326 0 obj
<<
/ActualText (backward)
/K 405
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3327 0 obj
<<
/ActualText (-)
/K 406
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3328 0 obj
<<
/ActualText (lead, and Tustin)
/K 407
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3329 0 obj
<<
/ActualText (-)
/K 408
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3330 0 obj
<<
/ActualText (DNF differentiators. )
/K 409
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3331 0 obj
<<
/ActualText (T)
/K 410
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3332 0 obj
<<
/ActualText (his is due to )
/K 411
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3333 0 obj
<<
/ActualText (the accurate derivatives that ensure an effective damping )
/K 412
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3334 0 obj
<<
/ActualText (matched with the CCAD to stabilize the system. )
/K 413
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3335 0 obj
<<
/ActualText (H)
/K 414
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3336 0 obj
<<
/ActualText (owever, it is )
/K 415
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3337 0 obj
<<
/ActualText (not the case for the CVAD with backward Euler diffe)
/K 416
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3338 0 obj
<<
/ActualText (rentiator, )
/K 417
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3339 0 obj
<<
/ActualText (where serious oscillation is triggered, due to the large phase )
/K 418
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3340 0 obj
<<
/ActualText (lag of backward Euler differentiator that causes the loss of )
/K 419
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3341 0 obj
<<
/ActualText (damping effectiveness.)
/K 420
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3342 0 obj
<<
/ActualText ( )
/K 421
/P 159 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3343 0 obj
<<
/ActualText (A)
/K 422
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3344 0 obj
<<
/ActualText ( )
/K 423
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3345 0 obj
<<
/ActualText (further comparison of the CCAD and the CVAD with )
/K 424
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3346 0 obj
<<
/ActualText (nonideal)
/K 425
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3347 0 obj
<<
/ActualText (-)
/K 426
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3348 0 obj
<<
/ActualText (GI, backward)
/K 427
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3349 0 obj
<<
/ActualText (-)
/K 428
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3350 0 obj
<<
/ActualText (lead, and Tustin)
/K 429
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3351 0 obj
<<
/ActualText (-)
/K 430
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3352 0 obj
<<
/ActualText (DNF diff)
/K 431
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3353 0 obj
<<
/ActualText (erentiators is )
/K 432
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3354 0 obj
<<
/ActualText (given in Fig. 1)
/K 433
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3355 0 obj
<<
/ActualText (5)
/K 434
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3356 0 obj
<<
/ActualText (, where the current reference steps between )
/K 435
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3357 0 obj
<<
/ActualText (half and full loads. )
/K 436
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3358 0 obj
<<
/ActualText (The)
/K 437
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3359 0 obj
<<
/ActualText ( )
/K 438
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3360 0 obj
<<
/ActualText (transient responses in all these cases )
/K 439
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3361 0 obj
<<
/ActualText (are almost identical, with a percentage overshoot of 24% and a )
/K 440
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3362 0 obj
<<
/ActualText (settling time of 0.8 ms \(5% tolerance\), which confirms)
/K 441
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3363 0 obj
<<
/ActualText ( )
/K 442
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3364 0 obj
<<
/ActualText (the )
/K 443
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3365 0 obj
<<
/ActualText (matched derivative performances of the above three )
/K 444
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3366 0 obj
<<
/ActualText (differentiators.)
/K 445
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3367 0 obj
<<
/ActualText ( )
/K 446
/P 160 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3368 0 obj
<<
/K 447
/P 145 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3369 0 obj
<<
/ActualText (IEEE )
/K 448
/P 4626 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3370 0 obj
<<
/ActualText (TRANSACTIONS ON POWER ELECTRONICS)
/K 449
/P 4626 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3371 0 obj
<<
/ActualText ( )
/K 450
/P 4626 0 R
/Pg 22 0 R
/S /Span
>>
endobj
3372 0 obj
<<
/Alt ()
/K 0
/P 161 0 R
/Pg 23 0 R
/S /InlineShape
>>
endobj
3373 0 obj
<<
/ActualText ( )
/K 1
/P 161 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3374 0 obj
<<
/ActualText (Fig. )
/K 2
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3375 0 obj
<<
/ActualText (12)
/K 3
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3376 0 obj
<<
/ActualText (. )
/K 4
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3377 0 obj
<<
/ActualText (Simulation results of sampled and calculated capacitor currents )
/K 5
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3378 0 obj
<<
/ActualText (under different )
/K 6
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3379 0 obj
<<
/ActualText (output)
/K 7
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3380 0 obj
<<
/ActualText ( )
/K 8
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3381 0 obj
<<
/ActualText (frequencies.)
/K 9
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3382 0 obj
<<
/ActualText ( )
/K 10
/P 163 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3383 0 obj
<<
/Alt ()
/K 11
/P 164 0 R
/Pg 23 0 R
/S /InlineShape
>>
endobj
3384 0 obj
<<
/Alt ()
/K 12
/P 164 0 R
/Pg 23 0 R
/S /InlineShape
>>
endobj
3385 0 obj
<<
/Alt ()
/K 13
/P 164 0 R
/Pg 23 0 R
/S /InlineShape
>>
endobj
3386 0 obj
<<
/ActualText ( )
/K 14
/P 164 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3387 0 obj
<<
/ActualText (\(a\) )
/K 15
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3388 0 obj
<<
/ActualText ( )
/K 16
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3389 0 obj
<<
/ActualText (\(b\) )
/K 17
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3390 0 obj
<<
/ActualText ( )
/K 18
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3391 0 obj
<<
/ActualText ( )
/K 19
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3392 0 obj
<<
/ActualText (\(c\))
/K 20
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3393 0 obj
<<
/ActualText ( )
/K 21
/P 165 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3394 0 obj
<<
/ActualText (Fig. )
/K 22
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3395 0 obj
<<
/ActualText (13)
/K 23
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3396 0 obj
<<
/ActualText (. )
/K 24
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3397 0 obj
<<
/ActualText (Closed)
/K 25
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3398 0 obj
<<
/ActualText (-)
/K 26
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3399 0 obj
<<
/ActualText (loop pole maps with )
/K 27
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3400 0 obj
<<
/ActualText (L)
/K 28
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3401 0 obj
<<
/ActualText (g)
/K 29
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3402 0 obj
<<
/ActualText ( )
/K 30
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3403 0 obj
<<
/ActualText (varying up to )
/K 31
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3404 0 obj
<<
/ActualText (3.8 mH)
/K 32
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3405 0 obj
<<
/ActualText (. \(a\) )
/K 33
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3406 0 obj
<<
/ActualText (CCAD)
/K 34
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3407 0 obj
<<
/ActualText (. \(b\) CVAD with backward Euler differentiator. \(c\))
/K 35
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3408 0 obj
<<
/ActualText ( )
/K 36
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3409 0 obj
<<
/ActualText (CVAD with backward)
/K 37
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3410 0 obj
<<
/ActualText (-)
/K 38
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3411 0 obj
<<
/ActualText (lead differentiator.)
/K 39
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3412 0 obj
<<
/ActualText ( )
/K 40
/P 166 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3413 0 obj
<<
/ActualText (Besides, the operation accuracy of the )
/K 41
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3414 0 obj
<<
/ActualText (differentiator)
/K 42
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3415 0 obj
<<
/ActualText ( )
/K 43
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3416 0 obj
<<
/ActualText (is also )
/K 44
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3417 0 obj
<<
/ActualText (tested under different switching frequencies. In industrial )
/K 45
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3418 0 obj
<<
/ActualText (products, the switching frequency may be adjusted in a certain )
/K 46
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3419 0 obj
<<
/ActualText (range according to the load c)
/K 47
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3420 0 obj
<<
/ActualText (ondition. Assuming the variation )
/K 48
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3421 0 obj
<<
/ActualText
/K 49
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3422 0 obj
<<
/ActualText (kHz are considered here. Since the )
/K 50
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3423 0 obj
<<
/ActualText (nonideal)
/K 51
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3424 0 obj
<<
/ActualText (-)
/K 52
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3425 0 obj
<<
/ActualText (GI, )
/K 53
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3426 0 obj
<<
/ActualText (backward)
/K 54
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3427 0 obj
<<
/ActualText (-)
/K 55
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3428 0 obj
<<
/ActualText (lead, and Tustin)
/K 56
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3429 0 obj
<<
/ActualText (-)
/K 57
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3430 0 obj
<<
/ActualText (DNF differentiators)
/K 58
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3431 0 obj
<<
/ActualText ( )
/K 59
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3432 0 obj
<<
/ActualText (have similar )
/K 60
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3433 0 obj
<<
/ActualText (derivative characteristics, the experimental results wit)
/K 61
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3434 0 obj
<<
/ActualText (h the )
/K 62
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3435 0 obj
<<
/ActualText (backward)
/K 63
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3436 0 obj
<<
/ActualText (-)
/K 64
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3437 0 obj
<<
/ActualText (lead)
/K 65
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3438 0 obj
<<
/ActualText ( )
/K 66
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3439 0 obj
<<
/ActualText (differentiator are )
/K 67
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3440 0 obj
<<
/ActualText (given as an example, as )
/K 68
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3441 0 obj
<<
/ActualText (shown in )
/K 69
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3442 0 obj
<<
/ActualText (Fig. 1)
/K 70
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3443 0 obj
<<
/ActualText (6, where the top figure gives the full view over )
/K 71
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3444 0 obj
<<
/ActualText (two fundamental periods and the bottom one gives the )
/K 72
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3445 0 obj
<<
/ActualText (zoomed)
/K 73
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3446 0 obj
<<
/ActualText (-)
/K 74
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3447 0 obj
<<
/ActualText (in view of the shaded area. Satisfactory steady)
/K 75
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3448 0 obj
<<
/ActualText (-)
/K 76
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3449 0 obj
<<
/ActualText (state )
/K 77
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3450 0 obj
<<
/ActualText (operations are )
/K 78
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3451 0 obj
<<
/ActualText (preserved under different cases, which impl)
/K 79
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3452 0 obj
<<
/ActualText (y)
/K 80
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3453 0 obj
<<
/ActualText ( )
/K 81
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3454 0 obj
<<
/ActualText (that the proposed )
/K 82
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3455 0 obj
<<
/ActualText (differentiators)
/K 83
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3456 0 obj
<<
/ActualText ( )
/K 84
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3457 0 obj
<<
/ActualText (are less sensitive to the )
/K 85
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3458 0 obj
<<
/ActualText (switching frequency variation.)
/K 86
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3459 0 obj
<<
/ActualText ( )
/K 87
/P 167 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3460 0 obj
<<
/K 88
/P 162 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3461 0 obj
<<
/ActualText (IEEE )
/K 89
/P 4628 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3462 0 obj
<<
/ActualText (TRANSACTIONS ON POWER ELECTRONICS)
/K 90
/P 4628 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3463 0 obj
<<
/ActualText ( )
/K 91
/P 4628 0 R
/Pg 23 0 R
/S /Span
>>
endobj
3464 0 obj
<<
/Alt ()
/K 0
/P 4805 0 R
/Pg 24 0 R
/S /InlineShape
>>
endobj
3465 0 obj
<<
/ActualText ( )
/K 1
/P 4805 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3466 0 obj
<<
/Alt ()
/K 2
/P 4806 0 R
/Pg 24 0 R
/S /InlineShape
>>
endobj
3467 0 obj
<<
/ActualText ( )
/K 3
/P 4806 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3468 0 obj
<<
/ActualText (\(a\))
/K 4
/P 4807 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3469 0 obj
<<
/ActualText ( )
/K 5
/P 4807 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3470 0 obj
<<
/ActualText (\()
/K 6
/P 4808 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3471 0 obj
<<
/ActualText (b)
/K 7
/P 4808 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3472 0 obj
<<
/ActualText (\))
/K 8
/P 4808 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3473 0 obj
<<
/ActualText ( )
/K 9
/P 4808 0 R
/Pg 24 0 R
/S /Span
>>
endobj
3474 0 obj
<<
/Alt ()
/K 10
/P 4809 0 R
/Pg 24 0 R
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>>
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3475 0 obj
<<
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/K 11
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/S /Span
>>
endobj
3476 0 obj
<<
/Alt ()
/K 12
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>>
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3477 0 obj
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3478 0 obj
<<
/ActualText (\()
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>>
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3482 0 obj
<<
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>>
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3483 0 obj
<<
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/K 20
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>>
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3485 0 obj
<<
/ActualText ( )
/K 21
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>>
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3486 0 obj
<<
/ActualText (F)
/K 22
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3487 0 obj
<<
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>>
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<<
/ActualText (4)
/K 24
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>>
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<<
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>>
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>>
endobj
3491 0 obj
<<
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/K 27
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>>
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3492 0 obj
<<
/ActualText ( )
/K 28
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>>
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3493 0 obj
<<
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/K 29
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>>
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<<
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>>
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>>
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<<
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>>
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<<
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>>
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3498 0 obj
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3502 0 obj
<<
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3504 0 obj
<<
/ActualText (V)
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3505 0 obj
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>>
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3506 0 obj
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3507 0 obj
<<
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3512 0 obj
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/K 48
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3513 0 obj
<<
/ActualText (\()
/K 49
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3514 0 obj
<<
/ActualText (b)
/K 50
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/K 51
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3516 0 obj
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<<
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<<
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/K 59
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/K 61
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/K 62
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/K 63
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<<
/ActualText ( )
/K 64
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3529 0 obj
<<
/ActualText (F)
/K 65
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3530 0 obj
<<
/ActualText (ig. 1)
/K 66
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>>
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3531 0 obj
<<
/ActualText (5)
/K 67
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>>
endobj
3532 0 obj
<<
/ActualText (. Experimen)
/K 68
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>>
endobj
3533 0 obj
<<
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/K 69
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>>
endobj
3534 0 obj
<<
/ActualText (nonideal)
/K 70
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>>
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<<
/ActualText (-)
/K 71
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>>
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3536 0 obj
<<
/ActualText (GI)
/K 72
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>>
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3537 0 obj
<<
/ActualText ( )
/K 73
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>>
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<<
/ActualText (differentiator, \(c\) the )
/K 74
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>>
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3539 0 obj
<<
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/K 75
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>>
endobj
3540 0 obj
<<
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/K 76
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>>
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<<
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/K 77
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>>
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3542 0 obj
<<
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/K 78
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>>
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3543 0 obj
<<
/ActualText (-)
/K 79
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>>
endobj
3544 0 obj
<<
/ActualText (DNF)
/K 80
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>>
endobj
3545 0 obj
<<
/ActualText ( )
/K 81
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>>
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<<
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/K 82
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>>
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3547 0 obj
<<
/ActualText (V)
/K 83
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>>
endobj
3548 0 obj
<<
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/K 84
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>>
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3549 0 obj
<<
/ActualText (: 250 V/div, cu)
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>>
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3550 0 obj
<<
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/K 86
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/S /Span
>>
endobj
3551 0 obj
<<
/ActualText ( )
/K 87
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/S /Span
>>
endobj
3552 0 obj
<<
/K 88
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/S /Span
>>
endobj
3553 0 obj
<<
/ActualText (IEEE )
/K 89
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>>
endobj
3554 0 obj
<<
/ActualText (TRANSACTIONS ON POWER ELECTRONICS)
/K 90
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>>
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3555 0 obj
<<
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/K 91
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>>
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3556 0 obj
<<
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/K 0
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>>
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3557 0 obj
<<
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/K 1
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>>
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3558 0 obj
<<
/ActualText (F)
/K 2
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>>
endobj
3559 0 obj
<<
/ActualText (ig. 1)
/K 3
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>>
endobj
3560 0 obj
<<
/ActualText (6)
/K 4
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/S /Span
>>
endobj
3561 0 obj
<<
/ActualText (. Experimental results )
/K 5
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/S /Span
>>
endobj
3562 0 obj
<<
/ActualText (of the )
/K 6
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>>
endobj
3563 0 obj
<<
/ActualText (CVAD with backward)
/K 7
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>>
endobj
3564 0 obj
<<
/ActualText (-)
/K 8
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>>
endobj
3565 0 obj
<<
/ActualText (lead differentiator)
/K 9
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>>
endobj
3566 0 obj
<<
/ActualText ( )
/K 10
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/S /Span
>>
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3567 0 obj
<<
/ActualText (under different switching frequencies. V)
/K 11
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>>
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3568 0 obj
<<
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/S /Span
>>
endobj
3569 0 obj
<<
/ActualText ( )
/K 13
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/S /Span
>>
endobj
3570 0 obj
<<
/ActualText (10)
/K 14
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>>
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3571 0 obj
<<
/ActualText ( )
/K 15
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/S /Span
>>
endobj
3572 0 obj
<<
/ActualText (ms/div \(top\) and 100 )
/K 16
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/S /Span
>>
endobj
3573 0 obj
<<
/ActualText
/K 17
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/S /Span
>>
endobj
3574 0 obj
<<
/ActualText (s/div \(bottom\).)
/K 18
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>>
endobj
3575 0 obj
<<
/ActualText ( )
/K 19
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/S /Span
>>
endobj
3576 0 obj
<<
/Alt ()
/K 20
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>>
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3577 0 obj
<<
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/S /Span
>>
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3578 0 obj
<<
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/K 22
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>>
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<<
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/K 23
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/S /Span
>>
endobj
3580 0 obj
<<
/ActualText (\(a\))
/K 24
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>>
endobj
3581 0 obj
<<
/ActualText ( )
/K 25
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/S /Span
>>
endobj
3582 0 obj
<<
/ActualText (\()
/K 26
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/S /Span
>>
endobj
3583 0 obj
<<
/ActualText (b)
/K 27
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>>
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3584 0 obj
<<
/ActualText (\))
/K 28
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/S /Span
>>
endobj
3585 0 obj
<<
/ActualText ( )
/K 29
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/S /Span
>>
endobj
3586 0 obj
<<
/ActualText (F)
/K 30
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/Pg 25 0 R
/S /Span
>>
endobj
3587 0 obj
<<
/ActualText (ig. 1)
/K 31
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/Pg 25 0 R
/S /Span
>>
endobj
3588 0 obj
<<
/ActualText (7)
/K 32
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/Pg 25 0 R
/S /Span
>>
endobj
3589 0 obj
<<
/ActualText (. Experimental results )
/K 33
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/Pg 25 0 R
/S /Span
>>
endobj
3590 0 obj
<<
/ActualText (at full load under grid impedance variation. \(a\) )
/K 34
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/S /Span
>>
endobj
3591 0 obj
<<
/ActualText (L)
/K 35
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>>
endobj
3592 0 obj
<<
/ActualText (g)
/K 36
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/S /Span
>>
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3593 0 obj
<<
/ActualText ( )
/K 37
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3594 0 obj
<<
/ActualText (= 1.9 mH. \(b\) )
/K 38
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3595 0 obj
<<
/ActualText (L)
/K 39
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3596 0 obj
<<
/ActualText (g)
/K 40
/P 177 0 R
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>>
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3597 0 obj
<<
/ActualText ( )
/K 41
/P 177 0 R
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/S /Span
>>
endobj
3598 0 obj
<<
/ActualText (= 3.8 mH. V)
/K 42
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3599 0 obj
<<
/ActualText (oltage: )
/K 43
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/S /Span
>>
endobj
3600 0 obj
<<
/ActualText (50)
/K 44
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/S /Span
>>
endobj
3601 0 obj
<<
/ActualText (0 V/div, current: 20 A/div, time:)
/K 45
/P 177 0 R
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/S /Span
>>
endobj
3602 0 obj
<<
/ActualText ( )
/K 46
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3603 0 obj
<<
/ActualText (2)
/K 47
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3604 0 obj
<<
/ActualText (0 ms/div.)
/K 48
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/Pg 25 0 R
/S /Span
>>
endobj
3605 0 obj
<<
/ActualText ( )
/K 49
/P 177 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3606 0 obj
<<
/ActualText (F)
/K 50
/P 178 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3607 0 obj
<<
/ActualText (i)
/K 51
/P 178 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3608 0 obj
<<
/ActualText (nally, experiments under the grid impedance variation are)
/K 52
/P 178 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3609 0 obj
<<
/ActualText ( )
/K 53
/P 178 0 R
/Pg 25 0 R
/S /Span
>>
endobj
3610 0 obj
<<
/ActualText (performed to verify the system robustness. Two grid )
/K 54
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/Pg 25 0 R
/S /Span
>>
endobj
3611 0 obj
<<
/ActualText (inductances, i.e., )
/K 55
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/S /Span
>>
endobj
3612 0 obj
<<
/ActualText (L)
/K 56
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>>
endobj
3613 0 obj
<<
/ActualText (g)
/K 57
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>>
endobj
3614 0 obj
<<
/ActualText ( )
/K 58
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/Pg 25 0 R
/S /Span
>>
endobj
3615 0 obj
<<
/ActualText (= 1.9 mH and )
/K 59
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/Pg 25 0 R
/S /Span
>>
endobj
3616 0 obj
<<
/ActualText (L)
/K 60
/P 178 0 R
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/S /Span
>>
endobj
3617 0 obj
<<
/ActualText (g)
/K 61
/P 178 0 R
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>>
endobj
3618 0 obj
<<
/ActualText ( )
/K 62
/P 178 0 R
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/S /Span
>>
endobj
3619 0 obj
<<
/ActualText (= 3.8 mH, are tested, as )
/K 63
/P 178 0 R
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>>
endobj
3620 0 obj
<<
/ActualText (shown in )
/K 64
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>>
endobj
3621 0 obj
<<
/ActualText (Fig. 1)
/K 65
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>>
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3622 0 obj
<<
/ActualText (7. In either condition, stable operations are )
/K 66
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>>
endobj
3623 0 obj
<<
/ActualText (retained for the CVAD with )
/K 67
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>>
endobj
3624 0 obj
<<
/ActualText (backward)
/K 68
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>>
endobj
3625 0 obj
<<
/ActualText (-)
/K 69
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>>
endobj
3626 0 obj
<<
/ActualText (lead)
/K 70
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>>
endobj
3627 0 obj
<<
/ActualText ( )
/K 71
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>>
endobj
3628 0 obj
<<
/ActualText (differentiator)
/K 72
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>>
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3629 0 obj
<<
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/K 73
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